Neretin, Yurii A. Inner functions of matrix argument and conjugacy classes in unitary groups. (English. Russian original) Zbl 07733593 Sb. Math. 213, No. 8, 1041-1057 (2022); translation from Mat. Sb. 213, No. 8, 26-43 (2022). MSC: 32A08 47A56 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Sb. Math. 213, No. 8, 1041--1057 (2022; Zbl 07733593); translation from Mat. Sb. 213, No. 8, 26--43 (2022) Full Text: DOI arXiv MNR
Neretin, Yury A. On double cosets of groups \(\mathrm{GL}(n)\) with respect to subgroups of block strictly triangular matrices. (English) Zbl 1511.20190 Linear Multilinear Algebra 70, No. 19, 4620-4632 (2022). MSC: 20G15 11E57 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Linear Multilinear Algebra 70, No. 19, 4620--4632 (2022; Zbl 1511.20190) Full Text: DOI arXiv
Neretin, Yu. A. On a \(\mathbb{C}^2\)-valued integral index transform and bilateral hypergeometric series. (English) Zbl 07593980 Integral Transforms Spec. Funct. 33, No. 10, 827-845 (2022). MSC: 33C05 33C20 34L10 39A70 44A15 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Integral Transforms Spec. Funct. 33, No. 10, 827--845 (2022; Zbl 07593980) Full Text: DOI arXiv
Neretin, Yury A. On spherical unitary representations of groups of spheromorphisms of Bruhat-Tits trees. (English) Zbl 07476299 Groups Geom. Dyn. 15, No. 3, 801-824 (2021). MSC: 20E08 20C32 22D10 37E25 43A90 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Groups Geom. Dyn. 15, No. 3, 801--824 (2021; Zbl 07476299) Full Text: DOI arXiv
Molchanov, Vladimir F.; Neretin, Yury A. A pair of commuting hypergeometric operators on the complex plane and bispectrality. (English) Zbl 1477.35107 J. Spectr. Theory 11, No. 2, 509-586 (2021). MSC: 35P10 47B39 44A15 33C05 33C50 PDF BibTeX XML Cite \textit{V. F. Molchanov} and \textit{Y. A. Neretin}, J. Spectr. Theory 11, No. 2, 509--586 (2021; Zbl 1477.35107) Full Text: DOI arXiv
Neretin, Yury A. Description of unitary representations of the group of infinite \(p\)-adic integer matrices. (English) Zbl 1505.22009 Represent. Theory 25, 606-643 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 22E66 20M18 18B99 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Represent. Theory 25, 606--643 (2021; Zbl 1505.22009) Full Text: DOI arXiv
Neretin, Yury A. Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets. (English) Zbl 1478.22015 J. Algebra 585, 370-421 (2021). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 22E66 20G05 20G40 PDF BibTeX XML Cite \textit{Y. A. Neretin}, J. Algebra 585, 370--421 (2021; Zbl 1478.22015) Full Text: DOI arXiv
Neretin, Yurii A. Polyhomomorphisms of locally compact groups. (English. Russian original) Zbl 1490.43003 Sb. Math. 212, No. 2, 185-210 (2021); translation from Mat. Sb. 212, No. 2, 53-80 (2021). MSC: 43A22 22D05 43A65 60B15 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Sb. Math. 212, No. 2, 185--210 (2021; Zbl 1490.43003); translation from Mat. Sb. 212, No. 2, 53--80 (2021) Full Text: DOI arXiv
Neretin, Yury A. An analog of the Dougall formula and of the de Branges-Wilson integral. (English) Zbl 1467.33009 Ramanujan J. 54, No. 1, 93-106 (2021). MSC: 33C70 44A15 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Ramanujan J. 54, No. 1, 93--106 (2021; Zbl 1467.33009) Full Text: DOI arXiv
Neretin, Yu. A. Fourier transform on the Lobachevsky plane and operational calculus. (English. Russian original) Zbl 1508.22011 Funct. Anal. Appl. 54, No. 4, 278-286 (2020); translation from Funkts. Anal. Prilozh. 54, No. 4, 64-73 (2020). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 22E46 43A85 22E30 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 54, No. 4, 278--286 (2020; Zbl 1508.22011); translation from Funkts. Anal. Prilozh. 54, No. 4, 64--73 (2020) Full Text: DOI arXiv
Neretin, Yury A. On the group of spheromorphisms of a homogeneous non-locally finite tree. (English. Russian original) Zbl 1498.20065 Izv. Math. 84, No. 6, 1161-1191 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 131-164 (2020). MSC: 20E08 20F65 22D10 05E16 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Izv. Math. 84, No. 6, 1161--1191 (2020; Zbl 1498.20065); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 131--164 (2020) Full Text: DOI arXiv
Neretin, Yury A. Barnes-Ismagilov integrals and hypergeometric functions of the complex field. (English) Zbl 1456.33008 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 072, 20 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33C20 33C70 22E43 PDF BibTeX XML Cite \textit{Y. A. Neretin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 072, 20 p. (2020; Zbl 1456.33008) Full Text: DOI arXiv
Neretin, Yu. A. A remark on nilpotent Lie algebras that do no admit gradings. (English. Russian original) Zbl 1493.17012 J. Math. Sci., New York 247, No. 5, 711-722 (2020); translation from Zap. Nauchn. Semin. POMI 481, 108-124 (2019). Reviewer: Peyman Niroomand (Dāmghān) MSC: 17B30 17B70 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 247, No. 5, 711--722 (2020; Zbl 1493.17012); translation from Zap. Nauchn. Semin. POMI 481, 108--124 (2019) Full Text: DOI
Neretin, Yury A. Projections separating spectra for \(L^2\) on pseudounitary groups \(U(p,q)\). (English) Zbl 1457.22005 Int. Math. Res. Not. 2019, No. 17, 5256-5283 (2019). MSC: 22E45 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Int. Math. Res. Not. 2019, No. 17, 5256--5283 (2019; Zbl 1457.22005) Full Text: DOI arXiv
Neretin, Yu. A.; Stëpin, A. M. To the 80th anniversary of Rais Salmanovich Ismagilov. (Russian) Zbl 1440.01027 Chebyshevskiĭ Sb. 20, No. 1(69), 425-430 (2019). MSC: 01A70 PDF BibTeX XML Cite \textit{Yu. A. Neretin} and \textit{A. M. Stëpin}, Chebyshevskiĭ Sb. 20, No. 1(69), 425--430 (2019; Zbl 1440.01027) Full Text: MNR
Neretin, Y. A. On the group of infinite \(p\)-adic matrices with integer elements. (English) Zbl 1468.20088 J. Math. Sci., New York 240, No. 5, 572-586 (2019) and Zap. Nauchn. Semin. POMI 468, 105-125 (2018). MSC: 20G30 20C15 20H20 20H25 PDF BibTeX XML Cite \textit{Y. A. Neretin}, J. Math. Sci., New York 240, No. 5, 572--586 (2019; Zbl 1468.20088) Full Text: DOI arXiv
Borodin, A. M.; Bufetov, Aleksandr I.; Bufetov, Alekseĭ I.; Vershik, A. M.; Gorin, V. E.; Molev, A. I.; Molchanov, V. F.; Ismagilov, R. S.; Kirillov, A. A.; Nazarov, M. L.; Neretin, Yu. A.; Nessonov, N. I.; Okunkov, A. Yu.; Petrov, L. A.; Khoroshkin, S. M. Grigoriĭ Iosifovich Ol’shanskiĭ (on his 70th birthday). (English. Russian original) Zbl 1432.01083 Russ. Math. Surv. 74, No. 3, 555-577 (2019); translation from Usp. Mat. Nauk 74, No. 3, 193-213 (2019). MSC: 01A70 PDF BibTeX XML Cite \textit{A. M. Borodin} et al., Russ. Math. Surv. 74, No. 3, 555--577 (2019; Zbl 1432.01083); translation from Usp. Mat. Nauk 74, No. 3, 193--213 (2019) Full Text: DOI
Neretin, Yury After Plancherel formula. (English) Zbl 1439.22022 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 389-401 (2019). Reviewer: Vladimir F. Molchanov (Tambov) MSC: 22E30 22E46 43A30 43A80 43A85 PDF BibTeX XML Cite \textit{Y. Neretin}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 389--401 (2019; Zbl 1439.22022) Full Text: DOI arXiv
Neretin, Yu. A. The Fourier transform on the group \(\mathrm{GL}_2(\mathbb{R})\) and the action of the overalgebra \(\mathfrak{gl}_4\). (English) Zbl 1454.43003 J. Fourier Anal. Appl. 25, No. 2, 488-505 (2019). Reviewer: Vladimir V. Kisil (Leeds) MSC: 43A30 22E45 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Fourier Anal. Appl. 25, No. 2, 488--505 (2019; Zbl 1454.43003) Full Text: DOI arXiv
Neretin, Yu. A. Operational calculus for the Fourier transform on the group \(\mathrm{GL}(2,\mathbb{R})\) and the problem about the action of an overalgebra in the Plancherel decomposition. (English. Russian original) Zbl 1408.22014 Funct. Anal. Appl. 52, No. 3, 194-202 (2018); translation from Funkts. Anal. Prilozh. 52, No. 3, 42-52 (2018). Reviewer: Stefan Groote (Tartu) MSC: 22E30 43A25 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 52, No. 3, 194--202 (2018; Zbl 1408.22014); translation from Funkts. Anal. Prilozh. 52, No. 3, 42--52 (2018) Full Text: DOI arXiv
Neretin, Yury A. Restriction of representations of \(\mathrm{GL}(n + 1, \mathbb{C})\) to \(\mathrm{GL}(n, \mathbb{C})\) and action of the Lie overalgebra. (English) Zbl 1400.22014 Algebr. Represent. Theory 21, No. 5, 1087-1117 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 22E46 20G05 17B10 22D10 43A85 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Algebr. Represent. Theory 21, No. 5, 1087--1117 (2018; Zbl 1400.22014) Full Text: DOI arXiv
Gaifullin, Alexander A.; Neretin, Yury A. Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures. (English) Zbl 1443.20010 J. Topol. Anal. 10, No. 3, 605-625 (2018). MSC: 20C32 57Q15 57Q60 18B99 47L10 PDF BibTeX XML Cite \textit{A. A. Gaifullin} and \textit{Y. A. Neretin}, J. Topol. Anal. 10, No. 3, 605--625 (2018; Zbl 1443.20010) Full Text: DOI arXiv
Neretin, Yuriĭ A. Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets. (English) Zbl 1483.20004 J. Math. Sci., New York 232, No. 2, 138-156 (2018) and Zap. Nauchn. Semin. POMI 462, 65-92 (2017). MSC: 20B30 20C32 PDF BibTeX XML Cite \textit{Y. A. Neretin}, J. Math. Sci., New York 232, No. 2, 138--156 (2018; Zbl 1483.20004) Full Text: DOI
Funar, Louis; Neretin, Yurii Diffeomorphism groups of tame Cantor sets and Thompson-like groups. (English) Zbl 1499.57017 Compos. Math. 154, No. 5, 1066-1110 (2018). MSC: 57M50 20F36 37C85 57S05 54H15 PDF BibTeX XML Cite \textit{L. Funar} and \textit{Y. Neretin}, Compos. Math. 154, No. 5, 1066--1110 (2018; Zbl 1499.57017) Full Text: DOI arXiv
Fialowski, Alice; Neretin, Yury; Pevzner, Michael; Salnikov, Vladimir [Kirillov, Alexandre Aleksandrovich] “Liberté aux professeurs associés!” Interview with Alexandre Aleksandrovich Kirillov. (English) Zbl 1384.01049 Eur. Math. Soc. Newsl. 106, 21-29 (2017). MSC: 01A70 PDF BibTeX XML Cite \textit{A. Fialowski} et al., Eur. Math. Soc. Newsl. 106, 21--29 (2017; Zbl 1384.01049) Full Text: DOI
Neretin, Yu. A. Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument. (English. Russian original) Zbl 1498.22018 Funct. Anal. Appl. 51, No. 2, 98-111 (2017); translation from Funkts. Anal. Prilozh. 51, No. 2, 25-41 (2017). MSC: 22E66 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 51, No. 2, 98--111 (2017; Zbl 1498.22018); translation from Funkts. Anal. Prilozh. 51, No. 2, 25--41 (2017) Full Text: DOI arXiv
Neretin, Yu. A. The Whishart-Pickrell distributions and closures of group actions. (English. Russian original) Zbl 06785504 J. Math. Sci., New York 224, No. 2, 328-334 (2017); translation from Zap. Nauchn. Semin. POMI 448, 236-245 (2016). MSC: 47-XX 46-XX PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 224, No. 2, 328--334 (2017; Zbl 06785504); translation from Zap. Nauchn. Semin. POMI 448, 236--245 (2016) Full Text: DOI arXiv
Neretin, Yury The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions. (English) Zbl 1365.81071 J. Geom. Mech. 9, No. 2, 207-225 (2017). MSC: 81R10 46E22 30C40 43A90 17B10 PDF BibTeX XML Cite \textit{Y. Neretin}, J. Geom. Mech. 9, No. 2, 207--225 (2017; Zbl 1365.81071) Full Text: DOI
Neretin, Yury A. On \(p\)-adic colligations and ‘rational maps’ of Bruhat-Tits trees. (English) Zbl 1369.47010 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-31755-7/hbk; 978-3-319-31756-4/ebook). Trends in Mathematics, 139-158 (2016). MSC: 47A48 20G25 20E08 20E42 22E50 51E24 PDF BibTeX XML Cite \textit{Y. A. Neretin}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 139--158 (2016; Zbl 1369.47010) Full Text: DOI arXiv
Neretin, Yuriĭ A. Radial parts of Haar measures and probability distributions on the space of rational matrix-valued functions. (English. Russian original) Zbl 1367.47016 Izv. Math. 80, No. 6, 1118-1130 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 127-140 (2016). MSC: 47A48 28C10 15B52 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Izv. Math. 80, No. 6, 1118--1130 (2016; Zbl 1367.47016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 127--140 (2016) Full Text: DOI arXiv
Neretin, Yu. A. On the sphericity of the subgroup \(\mathrm{PSL}_2(\mathbb{R})\) in the group of diffeomorphisms of the circle. (English. Russian original) Zbl 1353.37087 Funct. Anal. Appl. 50, No. 2, 160-162 (2016); translation from Funkts. Anal. Prilozh. 50, No. 2, 160-162 (2016). Reviewer: Victor Sharapov (Dayton) MSC: 37E15 22E65 22E15 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 50, No. 2, 160--162 (2016; Zbl 1353.37087); translation from Funkts. Anal. Prilozh. 50, No. 2, 160--162 (2016) Full Text: DOI arXiv
Neretin, Yu. A. Several remarks on groups of automorphisms of free groups. (English. Russian original) Zbl 1388.20052 J. Math. Sci., New York 215, No. 6, 748-754 (2016); translation from Zap. Nauchn. Semin. POMI 436, 189-198 (2015). MSC: 20F28 20E05 22A15 22F10 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 215, No. 6, 748--754 (2016; Zbl 1388.20052); translation from Zap. Nauchn. Semin. POMI 436, 189--198 (2015) Full Text: DOI arXiv
Neretin, Yu A. Infinite symmetric groups and combinatorial constructions of topological field theory type. (English. Russian original) Zbl 1357.57002 Russ. Math. Surv. 70, No. 4, 715-773 (2015); translation from Usp. Mat. Nauk 70, No. 4, 143-204 (2015). MSC: 57-02 57R56 20C32 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Russ. Math. Surv. 70, No. 4, 715--773 (2015; Zbl 1357.57002); translation from Usp. Mat. Nauk 70, No. 4, 143--204 (2015) Full Text: DOI arXiv
Neretin, Yurii A. Matrix beta-integrals: an overview. (English) Zbl 1331.33003 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-18211-7/hbk; 978-3-319-18212-4/ebook). Trends in Mathematics, 257-272 (2015). MSC: 33B15 53C35 11F85 14M15 PDF BibTeX XML Cite \textit{Y. A. Neretin}, in: Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 -- July 5, 2014. Cham: Birkhäuser/Springer. 257--272 (2015; Zbl 1331.33003) Full Text: DOI arXiv
Neretin, Yury A. Hua-type beta-integrals and projective systems of measures on flag spaces. (English) Zbl 1331.33004 Int. Math. Res. Not. 2015, No. 21, 11289-11301 (2015). MSC: 33B15 14M15 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Int. Math. Res. Not. 2015, No. 21, 11289--11301 (2015; Zbl 1331.33004) Full Text: DOI arXiv
Neretin, Yu A. Infinite-dimensional \(p\)-adic groups, semigroups of double cosets, and inner functions on Bruhat-Tits buildings. (English) Zbl 1327.22020 Izv. Math. 79, No. 3, 512-553 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 3, 87-130 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 51E24 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Izv. Math. 79, No. 3, 512--553 (2015; Zbl 1327.22020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 3, 87--130 (2015) Full Text: DOI arXiv
Neretin, Yu A. Bi-invariant functions on the group of transformations leaving a measure quasi-invariant. (English. Russian original) Zbl 1309.22017 Sb. Math. 205, No. 9, 1357-1372 (2014); translation from Mat. Sb. 205, No. 9, 145-160 (2014). Reviewer: Thomas B. Ward (Durham) MSC: 22E66 28D99 22F10 28E99 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Sb. Math. 205, No. 9, 1357--1372 (2014; Zbl 1309.22017); translation from Mat. Sb. 205, No. 9, 145--160 (2014) Full Text: DOI arXiv
Neretin, Yu. A. On an infinite-dimensional limit of the Steinberg representations. (English) Zbl 1337.20050 J. Math. Sci., New York 200, No. 6, 718-721 (2014) and Zap. Nauchn. Semin. POMI 421, 126-132 (2014). MSC: 20G05 20H30 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 200, No. 6, 718--721 (2014; Zbl 1337.20050) Full Text: DOI arXiv
Marmo, Giuseppe; Michor, Peter W.; Neretin, Yury A. The Lagrangian Radon transform and the Weil representation. (English) Zbl 1310.44005 J. Fourier Anal. Appl. 20, No. 2, 321-361 (2014). Reviewer: S. L. Kalla (Jodhpur) MSC: 44A12 46F12 35E99 22E46 42A38 PDF BibTeX XML Cite \textit{G. Marmo} et al., J. Fourier Anal. Appl. 20, No. 2, 321--361 (2014; Zbl 1310.44005) Full Text: DOI
Gindikin, S. G.; Ismagilov, R. S.; Karabegov, A. V.; Neretin, Yu A.; Nessonov, N. I.; Olshanskii, G. I. Mathematical life: Vladimir Fedorovich Molchanov (on his 75th birthday). (English. Russian original) Zbl 1298.01029 Russ. Math. Surv. 69, No. 3, 583-588 (2014); translation from Usp. Mat. Nauk 69, No. 3, 186-190 (2014). MSC: 01A70 22-03 43-03 PDF BibTeX XML Cite \textit{S. G. Gindikin} et al., Russ. Math. Surv. 69, No. 3, 583--588 (2014; Zbl 1298.01029); translation from Usp. Mat. Nauk 69, No. 3, 186--190 (2014) Full Text: DOI
Neretin, Yury A. The space \(L^2\) on semi-infinite Grassmannian over finite field. (English) Zbl 1317.14109 Adv. Math. 250, 320-350 (2014). Reviewer: Edwin León Cardenal (Zacatecas) MSC: 14M15 20C32 28D15 58B25 20G40 14G15 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Adv. Math. 250, 320--350 (2014; Zbl 1317.14109) Full Text: DOI arXiv
Alekseevski, Dmitri V.; Michor, Peter W.; Neretin, Yurii A. Rolling of Coxeter polyhedra along mirrors. (English) Zbl 1318.52011 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 67-86 (2013). MSC: 52B11 53C20 20F55 22E40 PDF BibTeX XML Cite \textit{D. V. Alekseevski} et al., in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. 67--86 (2013; Zbl 1318.52011) Full Text: DOI arXiv
Vershik, A. M.; Kirillov, A. A.; Molchanov, V. F.; Neretin, Yu. A.; Olshanski, G. I.; Ryzhikov, V. V.; Tikhomirov, V. M.; Shkalikov, A. A. Rais Sal’manovich Ismagilov (on his 75th birthday). (English. Russian summary) Zbl 1278.01026 Russ. Math. Surv. 68, No. 4, 783-788 (2013); translation from Usp. Mat. Nauk 68, No. 4, 185-190 (2013). MSC: 01A70 PDF BibTeX XML Cite \textit{A. M. Vershik} et al., Russ. Math. Surv. 68, No. 4, 783--788 (2013; Zbl 1278.01026); translation from Usp. Mat. Nauk 68, No. 4, 185--190 (2013) Full Text: DOI Link
Neretin, Yu A. Hua measures on the space of \(p\)-adic matrices and inverse limits of Grassmannians. (English. Russian original) Zbl 1284.22013 Izv. Math. 77, No. 5, 941-953 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 5, 95-108(2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E66 43A80 46G12 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Izv. Math. 77, No. 5, 941--953 (2013; Zbl 1284.22013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 5, 95--10 (2013) Full Text: DOI arXiv
Neretin, Yu A. On the boundary of the group of transformations leaving a measure quasi-invariant. (English) Zbl 1281.22010 Sb. Math. 204, No. 8, 1161-1194 (2013); translation from Mat. Sb. 204, No. 8, 83-116 (2013). Reviewer: Victor Sharapov (Volgograd) MSC: 22F10 28A35 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Sb. Math. 204, No. 8, 1161--1194 (2013; Zbl 1281.22010); translation from Mat. Sb. 204, No. 8, 83--116 (2013) Full Text: DOI arXiv
Neretin, Yury A. Difference Sturm-Liouville problems in the imaginary direction. (English) Zbl 1277.39014 J. Spectr. Theory 3, No. 3, 237-269 (2013). Reviewer: Peter Zabreiko (Minsk) MSC: 39A12 34B24 47B39 47G10 44A20 58C40 33C05 39A70 PDF BibTeX XML Cite \textit{Y. A. Neretin}, J. Spectr. Theory 3, No. 3, 237--269 (2013; Zbl 1277.39014) Full Text: DOI arXiv
Neretin, Yu. A. A remark on representations of infinite symmetric groups. (English. Russian original) Zbl 1282.20013 J. Math. Sci., New York 190, No. 3, 464-467 (2013); translation from Zap. Nauchn. Semin. POMI 403, 103-109 (2012). MSC: 20C32 22D10 43A35 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 190, No. 3, 464--467 (2013; Zbl 1282.20013); translation from Zap. Nauchn. Semin. POMI 403, 103--109 (2012) Full Text: DOI arXiv
Karabegov, Alexander; Neretin, Yuri; Voronov, Theodore Felix Alexandrovich Berezin and his work. (English) Zbl 1271.01035 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 3-33 (2013). Reviewer: Stefan Berceanu (Bucureşti) MSC: 01A70 53-03 53D50 58-03 58A50 58Z99 22E66 PDF BibTeX XML Cite \textit{A. Karabegov} et al., in: Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 -- July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser. 3--33 (2013; Zbl 1271.01035) Full Text: DOI arXiv
Neretin, Yury On topologies on Malcev completions of braid groups. (English) Zbl 1292.20042 Mosc. Math. J. 12, No. 4, 803-824 (2012). MSC: 20F36 17B60 22E65 17B65 57M25 PDF BibTeX XML Cite \textit{Y. Neretin}, Mosc. Math. J. 12, No. 4, 803--824 (2012; Zbl 1292.20042) Full Text: Link
Neretin, Yuri A. Stein-Sahi complementary series and their degenerations. (English) Zbl 1252.42001 Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 133-183 (2012). Reviewer: Vasily A. Chernecky (Odessa) MSC: 42-06 22D10 42B35 PDF BibTeX XML Cite \textit{Y. A. Neretin}, in: Representation theory, complex analysis, and integral geometry. Outgrowth of the special term ``Harmonic analysis, representation theory, and integral geometry'' held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser. 133--183 (2012; Zbl 1252.42001) Full Text: DOI arXiv
Neretin, Yury Symmetries of Gaussian measures and operator colligations. (English) Zbl 1250.47008 J. Funct. Anal. 263, No. 3, 782-802 (2012). MSC: 47A48 47D03 46G12 PDF BibTeX XML Cite \textit{Y. Neretin}, J. Funct. Anal. 263, No. 3, 782--802 (2012; Zbl 1250.47008) Full Text: DOI arXiv
Neretin, Yu. Infinite tri-symmetric group, multiplication of double cosets, and checker topological field theories. (English) Zbl 1319.57021 Int. Math. Res. Not. 2012, No. 3, 501-523 (2012). Reviewer: Qi Chen (Winston-Salem) MSC: 57R56 20C32 PDF BibTeX XML Cite \textit{Yu. Neretin}, Int. Math. Res. Not. 2012, No. 3, 501--523 (2012; Zbl 1319.57021) Full Text: DOI arXiv
Neretin, Yu. A. On the beta function of the tube of the light cone. (English) Zbl 1280.32012 J. Math. Sci., New York 174, No. 1, 36-40 (2011) and Zap. Nauchn. Semin. POMI 378, 73-80 (2010). MSC: 32M15 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 174, No. 1, 36--40 (2011; Zbl 1280.32012) Full Text: DOI arXiv
Neretin, Yu. A. Sphericity and multiplication of double cosets for infinite-dimensional classical groups. (English. Russian original) Zbl 1271.22019 Funct. Anal. Appl. 45, No. 3, 225-239 (2011); translation from Funkts. Anal. Prilozh. 45, No. 3, 79-96 (2011). MSC: 22E66 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 45, No. 3, 225--239 (2011; Zbl 1271.22019); translation from Funkts. Anal. Prilozh. 45, No. 3, 79--96 (2011) Full Text: DOI arXiv
Neretin, Yury A. Multi-operator colligations and multivariate characteristic functions. (English) Zbl 1253.47009 Anal. Math. Phys. 1, No. 2-3, 121-138 (2011). MSC: 47A48 20E99 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Anal. Math. Phys. 1, No. 2--3, 121--138 (2011; Zbl 1253.47009) Full Text: DOI arXiv
Neretin, Yu A. Spectral data for a pair of matrices of order three and an action of the group \(\text{GL}(2,\mathbb Z)\). (English. Russian original) Zbl 1275.14040 Izv. Math. 75, No. 5, 959-969 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 5, 93-102 (2011). MSC: 14L30 14H52 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Izv. Math. 75, No. 5, 959--969 (2011; Zbl 1275.14040); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 5, 93--102 (2011) Full Text: DOI arXiv
Neretin, Yuri A. Double cosets for \(\text{SU}(2)\times\cdots\times\text{SU}(2)\) and outer automorphisms of free groups. (English) Zbl 1239.20028 Int. Math. Res. Not. 2011, No. 9, 2047-2067 (2011). MSC: 20E05 22E30 20E36 20F36 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Int. Math. Res. Not. 2011, No. 9, 2047--2067 (2011; Zbl 1239.20028) Full Text: DOI arXiv
Neretin, Yurii A. Lectures on Gaussian integral operators and classical groups. (English) Zbl 1211.22001 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-080-7/pbk). xii, 559 p. (2011). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22-02 22E50 47B50 47G10 53C35 32M15 22E46 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Lectures on Gaussian integral operators and classical groups. Zürich: European Mathematical Society (EMS) (2011; Zbl 1211.22001) Full Text: DOI Backlinks: MO
Neretin, Yu. A. On spherical functions on the group \(\mathrm{SU}(2)\times\mathrm{SU}(2)\times\mathrm{SU}(2)\). (English. Russian original) Zbl 1271.22006 Funct. Anal. Appl. 44, No. 1, 48-54 (2010); translation from Funkts. Anal. Prilozh. 44, No. 1, 59-67 (2010). MSC: 22E30 33C80 33C55 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 44, No. 1, 48--54 (2010; Zbl 1271.22006); translation from Funkts. Anal. Prilozh. 44, No. 1, 59--67 (2010) Full Text: DOI arXiv
Neretin, Yuri A. Ramified integrals, casselman phenomenon, and holomorphic continuations of group representations. (English) Zbl 1297.22013 Gustafsson, Björn (ed.) et al., Analysis and mathematical physics. Lectures delivered at the international conference “New trends in harmonic and complex analysis”, Voss, Norway, May 7–12, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9905-4/hbk). Trends in Mathematics, 427-439 (2009). MSC: 22E46 22E45 PDF BibTeX XML Cite \textit{Y. A. Neretin}, in: Analysis and mathematical physics. Lectures delivered at the international conference ``New trends in harmonic and complex analysis'', Voss, Norway, May 7--12, 2007. Basel: Birkhäuser. 427--439 (2009; Zbl 1297.22013) Full Text: DOI arXiv
Neretin, Yu A.; Khoroshkin, S. M. Mathematical works of D.P. Zhelobenko. (English. Russian original) Zbl 1167.01325 Russ. Math. Surv. 64, No. 1, 187-198 (2009); translation from Usp. Mat. Nauk 64, No. 1, 178-188 (2009). MSC: 01A70 22E46 22E45 01A60 PDF BibTeX XML Cite \textit{Y. A. Neretin} and \textit{S. M. Khoroshkin}, Russ. Math. Surv. 64, No. 1, 187--198 (2009; Zbl 1167.01325); translation from Usp. Mat. Nauk 64, No. 1, 178--188 (2009) Full Text: DOI arXiv
Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Kirillov, A. A.; Litvinov, G. L.; Molchanov, V. F.; Neretin, Yu A.; Retakh, V. S. Mark Iosifovich Graev (to his 85th brithday). (English. Russian original) Zbl 1153.01333 Russ. Math. Surv. 63, No. 1, 173-188 (2008); translation from Usp. Mat. Nauk. 63, No. 1, 169-182 (2008). MSC: 01A70 00A15 PDF BibTeX XML Cite \textit{A. M. Vershik} et al., Russ. Math. Surv. 63, No. 1, 173--188 (2008; Zbl 1153.01333); translation from Usp. Mat. Nauk. 63, No. 1, 169--182 (2008) Full Text: DOI
Airault, Hélène; Neretin, Yuri A. On the action of Virasoro algebra on the space of univalent functions. (English) Zbl 1183.17011 Bull. Sci. Math. 132, No. 1, 27-39 (2008). MSC: 17B68 30C10 30C55 PDF BibTeX XML Cite \textit{H. Airault} and \textit{Y. A. Neretin}, Bull. Sci. Math. 132, No. 1, 27--39 (2008; Zbl 1183.17011) Full Text: DOI arXiv
Neretin, Yu. A. \(K\)-finite matrix elements of irreducible Harish-Chandra modules are hypergeometric functions. (English. Russian original) Zbl 1166.22009 Funct. Anal. Appl. 41, No. 4, 295-302 (2007); translation from Funkts. Anal. Prilozh. 41, No. 4, 60-69 (2007). Reviewer: Annegret Paul (Kalamazoo) MSC: 22E45 33C80 22E46 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 41, No. 4, 295--302 (2007; Zbl 1166.22009); translation from Funkts. Anal. Prilozh. 41, No. 4, 60--69 (2007) Full Text: DOI arXiv
Neretin, Yuri A. On adelic model of boson Fock space. (English) Zbl 1173.11356 Neretin, Yu. (ed.) et al., Moscow Seminar in mathematical physics, II. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4371-0/hbk). Translations. Series 2. American Mathematical Society 221. Advances in the Mathematical Sciences 60, 193-202 (2007). MSC: 11R56 81S05 11F27 22E70 46F05 46S10 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Transl., Ser. 2, Am. Math. Soc. 221, 193--202 (2007; Zbl 1173.11356) Full Text: arXiv
Neretin, Yuri A. Determinantal point processes and fermionic Fock space. (English) Zbl 1135.43004 Neretin, Yu. (ed.) et al., Moscow Seminar in mathematical physics, II. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4371-0/hbk). Translations. Series 2. American Mathematical Society 221. Advances in the Mathematical Sciences 60, 185-191 (2007). Reviewer: Alexander Tovstolis (Donetsk) MSC: 43A65 22E65 60G55 60K99 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Transl., Ser. 2, Am. Math. Soc. 221, 185--191 (2007; Zbl 1135.43004) Full Text: arXiv
Neretin, Yu. (ed.); Olshanetsky, M. A. (ed.); Rosly, A. (ed.) Moscow Seminar in mathematical physics, II. (English) Zbl 1124.58002 Translations. Series 2. American Mathematical Society 221. Advances in the Mathematical Sciences 60. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4371-0/hbk). viii, 211 p. (2007). MSC: 58-06 81-06 17-06 00B15 PDF BibTeX XML Cite \textit{Yu. Neretin} (ed.) et al., Moscow Seminar in mathematical physics, II. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1124.58002)
Neretin, Yu. A. Perturbation of Jacobi polynomials and piecewise hypergeometric orthogonal systems. (English. Russian original) Zbl 1155.33007 Sb. Math. 197, No. 11, 1607-1633 (2006); translation from Mat. Sb. 197, No. 11, 51-78 (2006). Reviewer: Jacek Gilewicz (Marseille) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 197, No. 11, 1607--1633 (2006; Zbl 1155.33007); translation from Mat. Sb. 197, No. 11, 51--78 (2006) Full Text: DOI arXiv
Neretin, Yuri A. Central extensions of groups of symplectomorphisms. (English) Zbl 1148.57041 Mosc. Math. J. 6, No. 4, 703-729 (2006). Reviewer: Jongil Park (Seoul) MSC: 57R57 58D05 19C09 22E40 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Mosc. Math. J. 6, No. 4, 703--729 (2006; Zbl 1148.57041) Full Text: arXiv Link
Neretin, Yu. A. Perelomov problem and inversion of the Segal-Bargmann transform. (English. Russian original) Zbl 1119.43002 Funct. Anal. Appl. 40, No. 4, 330-333 (2006); translation from Funkts. Anal. Prilozh. 40, No. 4, 104-107 (2006). Reviewer: Constantin Udrişte (Bucureşti) MSC: 43A32 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 40, No. 4, 330--333 (2006; Zbl 1119.43002); translation from Funkts. Anal. Prilozh. 40, No. 4, 104--107 (2006) Full Text: DOI arXiv
Neretin, Yuri A. Stable densities and operators of fractional differentiation. (English) Zbl 1119.26010 Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 117-137 (2006). Reviewer: P. K. Banerji (Jodhpur) MSC: 26A33 33C60 44A10 60E07 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Transl., Ser. 2, Am. Math. Soc. 217, 117--137 (2006; Zbl 1119.26010)
Neretin, Yu. A. Notes on Stein-Sahi representations and some problems of non-\(L^2\)-harmonic analysis. (English) Zbl 1114.43006 Zap. Nauchn. Semin. POMI 331, 125-169 (2006) and J. Math. Sci., New York 141, No. 4, 1452-1478 (2007). Reviewer: Vladimir F. Molchanov (Tambov) MSC: 43A85 53C35 22E46 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Zap. Nauchn. Semin. POMI 331, 125--169 (2006; Zbl 1114.43006) Full Text: arXiv
Neretin, Yu. A. Some continuous analogs of the expansion in Jacobi polynomials and vector-valued orthogonal bases. (English. Russian original) Zbl 1115.33008 Funct. Anal. Appl. 39, No. 2, 106-119 (2005); translation from Funkts. Anal. Prilozh. 39, No. 2, 31-46 (2005). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 22E45 43A65 33C80 42C05 44A15 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 39, No. 2, 106--119 (2005; Zbl 1115.33008); translation from Funkts. Anal. Prilozh. 39, No. 2, 31--46 (2005) Full Text: DOI arXiv
Neretin, Yu. A. On compression of Bruhat–Tits buildings. (Russian, English) Zbl 1078.51013 Zap. Nauchn. Semin. POMI 325, 163-170 (2005); translation in J. Math. Sci., New York 138, No. 3, 5722-5726 (2006). MSC: 51E24 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Zap. Nauchn. Semin. POMI 325, 163--170 (2005; Zbl 1078.51013); translation in J. Math. Sci., New York 138, No. 3, 5722--5726 (2006) Full Text: arXiv EuDML Link
Foth, Tatiana; Neretin, Yuri A. Zak transform, Weil representation, and integral operators with theta-kernels. (English) Zbl 1063.22019 Int. Math. Res. Not. 2004, No. 43, 2305-2327 (2004). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 22E65 43A80 47G10 PDF BibTeX XML Cite \textit{T. Foth} and \textit{Y. A. Neretin}, Int. Math. Res. Not. 2004, No. 43, 2305--2327 (2004; Zbl 1063.22019) Full Text: DOI arXiv
Neretin, Yurii A. Structures of boson and fermion Fock spaces in the space of symmetric functions. (English) Zbl 1044.05068 Acta Appl. Math. 81, No. 1-3, 233-268 (2004). MSC: 05E05 81R10 22E70 22E65 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Acta Appl. Math. 81, No. 1--3, 233--268 (2004; Zbl 1044.05068) Full Text: DOI arXiv
Neretin, Yurii A. Geometry of \(\operatorname{GL}_n(\mathbb{C})\) at infinity: hinges, complete collineations, projective compactifications, and universal boundary. (English) Zbl 1076.14072 Duval, Christian (ed.) et al., The orbit method in geometry and physics. In honor of A. A. Kirillov. Papers from the international conference, Marseille, France, December 4–8, 2000. Boston, MA: Birkhäuser (ISBN 0-8176-4232-3/hbk). Prog. Math. 213, 297-327 (2003). Reviewer: John Lorch (Muncie) MSC: 14M17 14L35 22E10 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Prog. Math. 213, 297--327 (2003; Zbl 1076.14072)
Neretin, Yu. A. The beta function of the Bruhat-Tits building and the deformation of the space \(l^2\) on the set of \(p\)-adic lattices. (English. Russian original) Zbl 1060.22008 Sb. Math. 194, No. 12, 1775-1805 (2003); translation from Mat. Sb. 194, No. 12, 31-62 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E40 22E35 22E50 20E42 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 194, No. 12, 1775--1805 (2003; Zbl 1060.22008); translation from Mat. Sb. 194, No. 12, 31--62 (2003) Full Text: DOI
Neretin, Yu. A. Rayleigh triangles and nonmatrix interpolation of matrix beta integrals. (English. Russian original) Zbl 1090.33007 Sb. Math. 194, No. 4, 515-540 (2003); translation from Mat. Sb. 194, No. 4, 49-74 (2003). Reviewer: Michael Voit (Dortmund) MSC: 33C80 22E30 43A85 33C67 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 194, No. 4, 515--540 (2003; Zbl 1090.33007); translation from Mat. Sb. 194, No. 4, 49--74 (2003) Full Text: DOI arXiv
Neretin, Yurii A. Pencils of geodesics in symmetric spaces, Karpelevich boundary, and associahedron-like polyhedra. (English) Zbl 1045.53029 Gindikin, S. G. (ed.), Lie groups and symmetric spaces. In memory of F. I. Karpelevich. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3472-X/hbk). Transl., Ser. 2, Am. Math. Soc. 210(54), 225-255 (2003). Reviewer: Dumitru Motreanu (Perpignan) MSC: 53C22 53C35 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Transl., Ser. 2, Am. Math. Soc. 210, 225--255 (2003; Zbl 1045.53029) Full Text: arXiv
Neretin, Yurii A. A construction of finite-dimensional faithful representation of Lie algebra. (English) Zbl 1078.17004 Bureš, Jarolím (ed.), The proceedings of the 22nd winter school “Geometry and physics”, Srní, Czech Republic, January 12–19, 2002. Palermo: Circolo Matemàtico di Palermo. Suppl. Rend. Circ. Mat. Palermo, II. Ser. 71, 159-161 (2003). MSC: 17B10 PDF BibTeX XML Cite \textit{Y. A. Neretin}, in: The proceedings of the 22nd winter school ``Geometry and physics'', Srní, Czech Republic, January 12--19, 2002. Palermo: Circolo Matemàtico di Palermo. 159--161 (2003; Zbl 1078.17004) Full Text: arXiv
Neretin, Yu. A. Groups of hierarchomorphisms of trees and related Hilbert spaces. (English) Zbl 1025.22008 J. Funct. Anal. 200, No. 2, 505-535 (2003). Reviewer: C.Udrişte (Bucureşti) MSC: 22E35 20C11 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Funct. Anal. 200, No. 2, 505--535 (2003; Zbl 1025.22008) Full Text: DOI arXiv
Neretin, Yu. A. Spreading maps (polymorphisms), symmetries of Poisson processes, and matching summation. (English. Russian original) Zbl 1079.28008 J. Math. Sci., New York 126, No. 2, 1077-1094 (2005); translation from Zap. Nauch. Semin. POMI 292, 62-91 (2002). MSC: 28C99 28A33 47A35 60G07 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 126, No. 2, 1077--1094 (2002; Zbl 1079.28008); translation from Zap. Nauch. Semin. POMI 292, 62--91 (2002) Full Text: DOI arXiv
Neretin, Yu. A. The action of an overalgebra in the Plancherel decomposition and shift operators in an imaginary direction. (English. Russian original) Zbl 1064.22005 Izv. Math. 66, No. 5, 1035-1046 (2002); translation from Izv. Ross. Akad. Nauk Ser. Mat. 66, No. 5, 171-182 (2002). MSC: 22E46 33C05 43A45 43A80 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Izv. Math. 66, No. 5, 1035--1046 (2002; Zbl 1064.22005); translation from Izv. Ross. Akad. Nauk Ser. Mat. 66, No. 5, 171--182 (2002) Full Text: DOI arXiv
Neretin, Yu. A. Beta-integrals and finite orthogonal systems of Wilson polynomials. (English. Russian original) Zbl 1052.33008 Sb. Math. 193, No. 7, 1071-1089 (2002); translation from Mat. Sb. 193, No. 7, 131-148 (2002). Reviewer: Semyon Yakubovich (Porto) MSC: 33C45 33B15 33D45 44A15 44A20 33C05 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 193, No. 7, 1071--1089 (2002; Zbl 1052.33008); translation from Mat. Sb. 193, No. 7, 131--148 (2002) Full Text: DOI arXiv
Slovokhotov, Yu. L.; Neretin, I. S. Atomic packing representation by 2D polar diagrams. (Russian) Zbl 1143.82343 Dokl. Akad. Nauk, Ross. Akad. Nauk 384, No. 2, 216-220 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 82D25 81V45 74E15 PDF BibTeX XML Cite \textit{Yu. L. Slovokhotov} and \textit{I. S. Neretin}, Dokl. Akad. Nauk, Ross. Akad. Nauk 384, No. 2, 216--220 (2002; Zbl 1143.82343)
Neretin, Yurii A. Hua-type integrals over unitary groups and over projective limits of unitary groups. (English) Zbl 1019.43008 Duke Math. J. 114, No. 2, 239-266 (2002). Reviewer: Jacques Faraut (Paris) MSC: 43A85 53C35 15B52 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Duke Math. J. 114, No. 2, 239--266 (2002; Zbl 1019.43008) Full Text: DOI arXiv
Neretin, Yurii A. Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space. (English) Zbl 1012.43005 J. Funct. Anal. 189, No. 2, 336-408 (2002). Reviewer: Genkai Zhang (Göteborg) MSC: 43A85 43A90 PDF BibTeX XML Cite \textit{Y. A. Neretin}, J. Funct. Anal. 189, No. 2, 336--408 (2002; Zbl 1012.43005) Full Text: DOI arXiv
Neretin, Yurii A. Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants. (English) Zbl 0991.43005 Mosc. Math. J. 1, No. 2, 157-220 (2001). Reviewer: Genkai Zhang (Gothenburg) MSC: 43A85 22E46 22E45 53C35 32A25 43A90 33C05 33E20 15A15 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Mosc. Math. J. 1, No. 2, 157--220 (2001; Zbl 0991.43005) Full Text: arXiv
Neretin, Yu. A. Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces. (English. Russian original) Zbl 1054.33004 Sb. Math. 192, No. 3, 403-432 (2001); translation from Mat. Sb. 192, No. 3, 83-114 (2001). MSC: 33C05 22E46 33C80 43A85 44A15 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 192, No. 3, 403--432 (2001; Zbl 1054.33004); translation from Mat. Sb. 192, No. 3, 83--114 (2001) Full Text: DOI arXiv
Neretin, Yurii A. On Jordan angles and the triangle inequality in Grassmann manifolds. (English) Zbl 1001.53037 Geom. Dedicata 86, No. 1-3, 81-92 (2001). Reviewer: G.G.Vrănceanu (Bucureşti) MSC: 53C35 58B20 47A63 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Geom. Dedicata 86, No. 1--3, 81--92 (2001; Zbl 1001.53037) Full Text: DOI arXiv
Neretin, Yu. A. On the separation of spectra in the analysis of Berezin kernels. (English. Russian original) Zbl 0967.22007 Funct. Anal. Appl. 34, No. 3, 197-207 (2000); translation from Funkts. Anal. Prilozh. 34, No. 3, 49-62 (2000). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 22E45 43A85 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 34, No. 3, 197--207 (2000; Zbl 0967.22007); translation from Funkts. Anal. Prilozh. 34, No. 3, 49--62 (2000) Full Text: DOI arXiv
Neretin, Yu. A. Matrix analogues of the beta function and Plancherel’s formula for Berezin kernel representations. (English. Russian original) Zbl 0962.33002 Sb. Math. 191, No. 5, 683-715 (2000); translation from Mat. Sb. 191, No. 5, 67-100 (2000). Reviewer: P.Boyadjiev (Sofia) MSC: 33B15 22E30 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 191, No. 5, 67--100 (2000; Zbl 0962.33002); translation from Mat. Sb. 191, No. 5, 67--100 (2000) Full Text: DOI
Neretin, Yu. A. Pseudo-Riemannian symmetric spaces: Uniform realizations and open embeddings into Grassmannians. (English. Russian original) Zbl 0981.53037 J. Math. Sci., New York 107, No. 5, 4248-4264 (2001); translation from Zap. Nauchn. Semin. POMI 256, 145-167 (1999). MSC: 53C35 53C30 53C50 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, J. Math. Sci., New York 107, No. 5, 4248--4264 (1999; Zbl 0981.53037); translation from Zap. Nauchn. Semin. POMI 256, 145--167 (1999) Full Text: DOI arXiv
Neretin, Yurii A. A remark on the boson-fermion correspondence. (English) Zbl 0929.05087 Rep. Math. Phys. 43, No. 1-2, 267-269 (1999). MSC: 05E05 81R05 PDF BibTeX XML Cite \textit{Y. A. Neretin}, Rep. Math. Phys. 43, No. 1--2, 267--269 (1999; Zbl 0929.05087) Full Text: DOI arXiv
Neretin, Yu. A. Conformal geometry of symmetric spaces and generalized linear-fractional maps of Krein-Shmul’yan. (English. Russian original) Zbl 0967.53036 Sb. Math. 190, No. 2, 255-283 (1999); translation from Mat. Sb. 190, No. 2, 93-122 (1999). MSC: 53C35 22E47 53C30 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Sb. Math. 190, No. 2, 255--283 (1999; Zbl 0967.53036); translation from Mat. Sb. 190, No. 2, 93--122 (1999) Full Text: DOI
Neretin, Yurii A. Notes on affine isometric actions of discrete groups. (English) Zbl 0932.22004 Heyer, Herbert (ed.) et al., Analysis on infinite-dimensional Lie groups and algebras. Proceedings of the international colloquium, Marseille, France, September 15–19, 1997. Singapore: World Scientific. 274-320 (1998). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 22D12 22E30 22E40 PDF BibTeX XML Cite \textit{Y. A. Neretin}, in: Analysis on infinite-dimensional Lie groups and algebras. Proceedings of the international colloquium, Marseille, France, September 15--19, 1997. Singapore: World Scientific. 274--320 (1998; Zbl 0932.22004) Full Text: arXiv
Neretin, Yu. A. The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete \(SL_2(\mathbb{R})\)-spectra. (English. Russian original) Zbl 0933.32001 Izv. Math. 62, No. 3, 493-513 (1998); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 62, No. 3, 67-86 (1998). Reviewer: P.Boyadjiev (Sofia) MSC: 32A10 32E35 46F10 32A40 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Izv. Math. 62, No. 3, 493--513 (1998; Zbl 0933.32001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 62, No. 3, 67--86 (1998) Full Text: DOI
Neretin, Yu. A. Supercomplete bases in the space of symmetric functions. (English. Russian original) Zbl 0931.46011 Funct. Anal. Appl. 32, No. 1, 10-22 (1998); translation from Funkts. Anal. Prilozh. 32, No. 1, 12-28 (1998). Reviewer: J.R.Holub (Blacksburg) MSC: 46B15 46E15 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 32, No. 1, 10--22 (1998; Zbl 0931.46011); translation from Funkts. Anal. Prilozh. 32, No. 1, 12--28 (1998) Full Text: DOI
Neretin, Yurii A. Boundary values of holomorphic functions and some spectral problems for unitary representations. (English) Zbl 0909.43004 Hilgert, Joachim (ed.) et al., Positivity in Lie theory: open problems. Berlin: Walter de Gruyter. De Gruyter Expo. Math. 26, 221-248 (1998). Reviewer: G.van Dijk (Leiden) MSC: 43A65 PDF BibTeX XML Cite \textit{Y. A. Neretin}, De Gruyter Expo. Math. 26, 221--248 (1998; Zbl 0909.43004) Full Text: arXiv