Varghese, Sarga; Prasad, Akhilesh; Kundu, Manab Properties and applications of quaternion quadratic phase Fourier transforms. (English) Zbl 07951925 J. Pseudo-Differ. Oper. Appl. 15, No. 4, Paper No. 84, 26 p. (2024). MSC: 42A38 94A12 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Smaoui, Kais Hardy’s uncertainty principle for Gabor transform on compact extensions of \(\mathbb{R}^{n}\). (English) Zbl 07874877 Monatsh. Math. 204, No. 3, 581-600 (2024). MSC: 43A30 22E30 43A32 × Cite Format Result Cite Review PDF Full Text: DOI
Yaremenko, Mykola The uncertainty principle generalization for a connected semi-simple Lie group. (English) Zbl 07956056 Asian-Eur. J. Math. 16, No. 12, Article ID 2350230, 6 p. (2023). MSC: 43A30 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Rostam, Salim Core size of a random partition for the Plancherel measure. (English) Zbl 1542.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 4, 2151-2188 (2023). Reviewer: Da Wu (Philadelphia) MSC: 60C05 60G55 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Nguyen Minh Khoa On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications. (English) Zbl 1536.44006 Integral Transforms Spec. Funct. 34, No. 11, 861-877 (2023). MSC: 44A35 45E10 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Tuan, Trinh Some results of Watson and Plancherel-type integral transforms related to the Hartley, Fourier convolutions and applications. (English) Zbl 1534.44002 Math. Methods Appl. Sci. 45, No. 17, 11158-11180 (2022). MSC: 44A35 42A38 45E10 42A85 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Koh, Doowon; Lee, Sujin; Pham, Thang On the finite field cone restriction conjecture in four dimensions and applications in incidence geometry. (English) Zbl 1533.42015 Int. Math. Res. Not. 2022, No. 21, 17079-17111 (2022). MSC: 42B10 51E30 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mahajan, A. M.; Chaudhary, M. S. Fourier type transforms and their convolutions on \(\mathbb{R}^n\). (English) Zbl 1513.42016 South East Asian J. Math. Math. Sci. 18, No. 2, 99-116 (2022). MSC: 42A38 44A35 × Cite Format Result Cite Review PDF Full Text: Link
Chen, Peng; Duong, Xuan Thinh; Yan, Lixin Almost everywhere convergence of spectral sums for self-adjoint operators. (English) Zbl 1497.42005 Proc. Am. Math. Soc. 150, No. 10, 4421-4431 (2022). MSC: 42A20 42B15 42A38 42B08 47F05 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Levie, Ron; Sochen, Nir A wavelet Plancherel theory with application to multipliers and sparse approximations. (English) Zbl 1505.42040 Numer. Funct. Anal. Optim. 43, No. 11, 1303-1400 (2022). Reviewer: K. Parthasarathy (Chennai) MSC: 42C40 20C35 65T60 43A80 94A12 20C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Smaoui, Kais; Abid, Khouloud Hardy’s theorem for Gabor transform on nilpotent Lie groups. (English) Zbl 1509.43003 J. Fourier Anal. Appl. 28, No. 3, Paper No. 56, 17 p. (2022). Reviewer: Mohamed Amine Boubatra (Setif) MSC: 43A25 43A32 22E25 × Cite Format Result Cite Review PDF Full Text: DOI
Saadan, Majid Jabbar; Janfada, Mohammad; Kamyabi-Gol, Radjab Ali Quaternionic inverse Fourier transforms on locally compact abelian groups. (English) Zbl 1485.43003 Complex Var. Elliptic Equ. 66, No. 8, 1264-1286 (2021). MSC: 43A32 43A40 46S05 43A50 × Cite Format Result Cite Review PDF Full Text: DOI
Bekka, Bachir The Plancherel formula for countable groups. (English) Zbl 1507.22019 Indag. Math., New Ser. 32, No. 3, 619-638 (2021). MSC: 22D10 22D25 43A30 43A65 46L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oliveira e Silva, Diogo; Quilodrán, René Smoothness of solutions of a convolution equation of restricted type on the sphere. (English) Zbl 1467.45006 Forum Math. Sigma 9, Paper No. e12, 40 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 45E10 35B65 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farhadi, Fariba Zeinal Zadeh; Asgari, Mohammad Sadegh; Mardanbeigi, Mohammad Reza; Azhini, Mahdi Generalized Bessel and frame measures. (English) Zbl 1488.28023 Facta Univ., Ser. Math. Inf. 35, No. 1, 217-242 (2020). MSC: 28A99 46E30 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Letac, Gérard; Massam, Hélène Gaussian approximation of Gaussian scale mixtures. (English) Zbl 1538.62078 Kybernetika 56, No. 6, 1063-1080 (2020). Reviewer: Arakaparampil M. Mathai (Montréal) MSC: 62E17 62E10 62H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mejjaoli, Hatem; Ben Saïd, Salem Harmonic analysis problems associated with the \(k\)-Hankel Gabor transform. (English) Zbl 1460.43004 J. Pseudo-Differ. Oper. Appl. 11, No. 4, 1549-1593 (2020). Reviewer: Ashish Bansal (Delhi) MSC: 43A32 26D10 33C52 43A15 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Betea, Dan Determinantal point processes from symplectic and orthogonal characters and applications. (English) Zbl 1447.05205 Sémin. Lothar. Comb. 84B, Article 41, 12 p. (2020). MSC: 05E05 05E10 60C05 15B52 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Higson, Nigel; Tan, Qijun On a spectral theorem of Weyl. (English) Zbl 1458.34140 Expo. Math. 38, No. 2, 180-201 (2020). Reviewer: Pierre Clare (Williamsburg) MSC: 34L05 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haloi, Rajib On solutions to abstract Volterra integro-differential equations with iterated deviating arguments. (English) Zbl 1435.34075 J. Anal. 28, No. 1, 235-260 (2020). MSC: 34K30 35K05 47N20 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Grafakos, Loukas An alternative to Plancherel’s criterion for bilinear operators. (English) Zbl 1432.42007 Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 173-179 (2019). MSC: 42B15 42B20 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Măntoiu, M.; Sandoval, M. Global and concrete quantizations on general type I groups. (English) Zbl 1479.46081 Monatsh. Math. 190, No. 3, 559-587 (2019). Reviewer: Veronique Fischer (Bath) MSC: 46L65 47G30 22D10 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dzhabbarov, I. Sh. Convergence exponent of a special integral in the two-dimensional Tarry problem with homogeneous polynomial of degree 2. (English. Russian original) Zbl 1434.11165 Math. Notes 105, No. 3, 359-365 (2019); translation from Mat. Zametki 105, No. 3, 375-382 (2019). MSC: 11L07 11D72 × Cite Format Result Cite Review PDF Full Text: DOI
Rachdi, Lakhdar Tannech; Amri, Besma; Hammami, Aymen Uncertainty principles and time frequency analysis related to the Riemann-Liouville operator. (English) Zbl 1430.42005 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 1, 139-170 (2019). Reviewer: Joseph Lakey (Las Cruces) MSC: 42A38 42B37 42A85 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Măntoiu, Marius A positive quantization on type I locally compact groups. (English) Zbl 1421.22004 Math. Nachr. 292, No. 5, 1043-1055 (2019). Reviewer: Veronique Fischer (Bath) MSC: 22D10 22D25 46L80 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Măntoiu, Marius; Sandoval, Maximiliano Pseudo-differential operators associated to general type I locally compact groups. (English) Zbl 1414.35271 Delgado, Julio (ed.) et al., Analysis and partial differential equations: perspectives from developing countries, Imperial College London, UK, 2016. Cham: Springer. Springer Proc. Math. Stat. 275, 172-190 (2019). MSC: 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Dong; Kou, Kit Ian Plancherel theorem and quaternion Fourier transform for square integrable functions. (English) Zbl 1405.42008 Complex Var. Elliptic Equ. 64, No. 2, 223-242 (2019). MSC: 42A38 42B10 43A32 43A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erdős, László; Schröder, Dominik Fluctuations of rectangular Young diagrams of interlacing Wigner eigenvalues. (English) Zbl 1407.60006 Int. Math. Res. Not. 2018, No. 10, 3255-3298 (2018). MSC: 60B20 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kamoun, Lotfi; Selmi, Rim Harmonic analysis associated with the multivariate Laguerre function. (English) Zbl 1394.43002 Mediterr. J. Math. 15, No. 2, Paper No. 39, 20 p. (2018). Reviewer: Krzysztof Stempak (Wrocław) MSC: 43A62 41A27 42B10 44A05 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Gualdani, M. P.; Mouhot, C. Factorization of non-symmetric operators and exponential \(H\)-theorem. (English. French summary) Zbl 1470.47066 Mém. Soc. Math. Fr., Nouv. Sér. 153, 3-137 (2017). Reviewer: Heinrich Hering (Rockenberg) MSC: 47J35 37L05 76P05 35Q84 47D06 35P15 × Cite Format Result Cite Review PDF
Mantoiu, Marius; Ruzhansky, Michael Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups. (English) Zbl 1403.22006 Doc. Math. 22, 1539-1592 (2017). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22D10 22D25 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferreira, Milton Harmonic analysis on the proper velocity gyrogroup. (English) Zbl 1354.43006 Banach J. Math. Anal. 11, No. 1, 21-49 (2017). MSC: 43A85 43A30 43A90 44A35 20N05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Vasudeva, Harkrishan Lal [Shirali, Satish] Elements of Hilbert spaces and operator theory. With contributions from Satish Shirali. (English) Zbl 1368.46002 Singapore: Springer (ISBN 978-981-10-3019-2/hbk; 978-981-10-3020-8/ebook). xiii, 522 p. (2017). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46-01 46Cxx 47Axx × Cite Format Result Cite Review PDF Full Text: DOI
Farashahi, Arash Ghaani Classical Fourier analysis over homogeneous spaces of compact groups. (English) Zbl 1389.43007 Anal. Theory Appl. 32, No. 4, 339-354 (2016). MSC: 43A32 43A40 43A85 × Cite Format Result Cite Review PDF Full Text: DOI
Choiy, Kwangho Generalized pseudo-coefficients of discrete series of \(p\)-adic groups. (English) Zbl 1430.22019 Asian J. Math. 20, No. 5, 969-988 (2016). MSC: 22E50 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azaouzi, Salma; Baklouti, Ali; Ayed, Sabria Ben Variants of Müntz-Szàsz analogs for Euclidean spin groups. (English) Zbl 1342.22015 Math. Notes 98, No. 3, 367-381 (2015). Reviewer: Serap Öztop (Istanbul) MSC: 22E30 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Van Anh, Phi Thi; Nguyen, Xuan Thao Integral transforms of Hartley-Fourier cosine polyconvolution type. (English) Zbl 1369.44004 Appl. Anal. 94, No. 9, 1749-1765 (2015). MSC: 44A35 42A38 45E10 45J05 45F05 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Rossovskii, L. E.; Tasevich, A. L. The first boundary-value problem for strongly elliptic functional-differential equations with orthotropic contractions. (English. Russian original) Zbl 1322.35156 Math. Notes 97, No. 5, 745-758 (2015); translation from Mat. Zametki 97, No. 5, 733-748 (2015). MSC: 35R10 47A63 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Zhonggen Random matrices and random partitions. Normal convergence. (English) Zbl 1351.60002 World Scientific Series on Probability Theory and Its Applications 1. Hackensack, NJ: World Scientific (ISBN 978-981-4612-22-7/hbk; 978-981-4612-24-1/ebook). xii, 271 p. (2015). Reviewer: Zakhar Kabluchko (Münster) MSC: 60-01 60B20 60F05 11P81 × Cite Format Result Cite Review PDF Full Text: DOI
Ghaani Farashahi, Arash Continuous partial Gabor transform for semi-direct product of locally compact groups. (English) Zbl 1311.43007 Bull. Malays. Math. Sci. Soc. (2) 38, No. 2, 779-803 (2015). MSC: 43A30 43A25 43A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farashahi, Arash Ghaani A unified group theoretical method for the partial Fourier analysis on semi-direct product of locally compact groups. (English) Zbl 1315.43004 Result. Math. 67, No. 1-2, 235-251 (2015). Reviewer: Öznur Kulak (Görele) MSC: 43A25 22D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ludwig, Jean; Molitor-Braun, Carine; Pusti, Sanjoy Spectral synthesis in \(L^2(G)\). (English) Zbl 1312.43004 Colloq. Math. 138, No. 1, 89-103 (2015). Reviewer: Krzysztof Stempak (Wrocław) MSC: 43A45 43A85 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Ajay From Fourier series to harmonic analysis on locally compact groups. (English) Zbl 1535.43005 Math. Stud. 83, No. 1-4, 87-107 (2014). MSC: 43A60 22E30 × Cite Format Result Cite Review PDF
Singh, Abhishek; Loonker, Deshna; Banerji, P. K. On Dunkl-Plancherel theorem for vector valued Boehmians. (English) Zbl 1331.46030 J. Indian Acad. Math. 36, No. 1, 41-58 (2014). Reviewer: Dohan Kim (Seoul) MSC: 46F12 46F05 46F20 × Cite Format Result Cite Review PDF
Yakubovich, S. On the half-Hartley transform, its iteration and compositions with Fourier transforms. (English) Zbl 1307.44008 J. Integral Equations Appl. 26, No. 4, 581-608 (2014). MSC: 44A15 44A35 42A38 45E05 45E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Yakubovich, S. The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform. (English) Zbl 1306.44006 Integral Transforms Spec. Funct. 25, No. 10, 836-848 (2014). Reviewer: N. R. Mangalambal (Kerala) MSC: 44A15 44A35 45E05 45E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borodin, Alexei; Bufetov, Alexey Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields. (English) Zbl 1322.60062 Duke Math. J. 163, No. 11, 2109-2158 (2014). Reviewer: Zakhar Kabluchko (Münster) MSC: 60G60 60G15 60F05 60B15 60B20 60C05 22E66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric Continuous and discrete Fourier frames for fractal measures. (English) Zbl 1364.28006 Trans. Am. Math. Soc. 366, No. 3, 1213-1235 (2014). MSC: 28A80 28A78 42B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farr, G. E. Transforms and minors for binary functions. (English) Zbl 1272.05195 Ann. Comb. 17, No. 3, 477-493 (2013). MSC: 05C85 05C83 05B35 82B20 94B99 × Cite Format Result Cite Review PDF Full Text: DOI
Borodin, A.; Bufetov, A. A CLT for Plancherel representations of the infinite-dimensional unitary group. (English. Russian original) Zbl 1278.60045 J. Math. Sci., New York 190, No. 3, 419-426 (2013); translation from Zap. Nauchn. Semin. POMI 403, 19-34 (2012). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60F05 60B15 60B20 60C05 22E66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graev, Mark I.; Litvinov, Grigory L. Integral geometry and I. M. Gelfand’s question. (English) Zbl 1303.44002 Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 1. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04582-3/hbk). 266-273 (2012). MSC: 44A12 53C65 42A38 20N20 × Cite Format Result Cite Review PDF
Hong, Nguyen Thanh; Khoa, Nguyen Minh Integral transforms related to the Fourier cosine convolution with a weight function. (English) Zbl 1296.44003 Acta Math. Vietnam. 37, No. 3, 427-440 (2012). MSC: 44A35 33C10 45E10 45J05 × Cite Format Result Cite Review PDF Full Text: Link
Wodome, Kodjovi D.; Kangni, Kinvi; Kofı Assiamoa, V. S. On an extension of Bochner’s theorem. (English) Zbl 1253.33011 Far East J. Math. Sci. (FJMS) 67, No. 1, 1-19 (2012). MSC: 33C45 × Cite Format Result Cite Review PDF Full Text: Link
Hernández, Eugenio; Šikić, Hrvoje; Weiss, Guido L.; Wilson, Edward N. The Zak transform(s). (English) Zbl 1250.42024 Cohen, Jonathan (ed.) et al., Wavelets and multiscale analysis. Theory and applications. Selected papers based on the presentations at the international conference on wavelets: twenty years of wavelets, DePaul University, Chicago, IL, USA, May 15–17, 2009. New York, NY: Springer (ISBN 978-0-8176-8094-7/hbk; 978-0-8176-8095-4/ebook). Applied and Numerical Harmonic Analysis, 151-157 (2011). MSC: 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Caspers, Martijn Spherical Fourier transforms on locally compact quantum Gelfand pairs. (English) Zbl 1242.43011 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 087, 39 p. (2011). MSC: 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Parkinson, James; Schapira, Bruno A local limit theorem for random walks on the chambers of \(\widetilde A_2\) buildings. (English) Zbl 1245.60031 Lenz, Daniel (ed.) et al., Random walks, boundaries and spectra. Proceedings of the workshop on boundaries, Graz, Austria, June 29–July 3, 2009 and the Alp-workshop, Sankt Kathrein, Austria, July 4–5, 2009. Basel: Birkhäuser (ISBN 978-3-0346-0243-3/hbk; 978-3-0346-0244-0/ebook). Progress in Probability 64, 15-53 (2011). MSC: 60F05 60G50 43A80 22E35 20C08 20E42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prasad, Amritanshu An easy proof of the Stone-von Neumann-Mackey theorem. (English) Zbl 1227.43009 Expo. Math. 29, No. 1, 110-118 (2011). Reviewer: Madathum K. Viswanath (Chennai) MSC: 43A70 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antonelli, Paolo; Sparber, Christof Existence of solitary waves in dipolar quantum gases. (English) Zbl 1213.37102 Physica D 240, No. 4-5, 426-431 (2011). Reviewer: Chuangan Hu (Cupertino) MSC: 37K40 82B10 82D10 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhang, Yandan; Chen, Jiecheng; Zhang, Chunjie Boundedness of singular integrals along surfaces on Lebesgue spaces. (English) Zbl 1240.42089 Appl. Math., Ser. B (Engl. Ed.) 25, No. 2, 192-198 (2010). MSC: 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Sho A limit theorem for the Jack deformation of Plancherel measures. (Japanese. English summary) Zbl 1225.60021 RIMS Kôkyûroku Bessatsu B20, 39-55 (2010). MSC: 60C05 05E10 × Cite Format Result Cite Review PDF
Amini, Massoud Tannaka-Krein duality for compact groupoids. II: Duality. (English) Zbl 1207.43005 Oper. Matrices 4, No. 4, 573-592 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 43A65 53D17 43A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Olenko, Andriy Ya.; Pogány, Tibor K. Universal truncation error upper bounds in sampling restoration. (English) Zbl 1203.94082 Georgian Math. J. 17, No. 4, 765-786 (2010). MSC: 94A20 41A25 41A05 41A17 41A80 26D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buss, Alcides Integrability of dual coactions on Fell bundle \(C^*\)-algebras. (English) Zbl 1235.46064 Bull. Braz. Math. Soc. (N.S.) 41, No. 4, 607-641 (2010). Reviewer: Dana P. Williams (Hanover) MSC: 46L55 46L08 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakubovich, Semyon On the Watson \(L_{2}\)-theory for index transforms. II. (English) Zbl 1200.44006 Integral Transforms Spec. Funct. 21, No. 9-10, 663-673 (2010). MSC: 44A15 33C10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon On the Watson \(L_{2}\)-theory for index transforms. I. (English) Zbl 1202.44006 Integral Transforms Spec. Funct. 21, No. 5-6, 381-397 (2010). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 44A15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S. B.; Britvina, L. E. Convolutions related to the Fourier and Kontorovich-Lebedev transforms revisited. (English) Zbl 1191.44002 Integral Transforms Spec. Funct. 21, No. 3-4, 259-276 (2010). Reviewer: Vitaly Vladimirovich Volchkov (Donetsk) MSC: 44A35 44A15 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Krötz, Bernhard Horospherical transform on real symmetric varieties: kernel and cokernel. (English. Russian original) Zbl 1271.43005 Funct. Anal. Appl. 43, No. 1, 30-43 (2009); translation from Funkts. Anal. Prilozh. 43, No. 1, 37-54 (2009). MSC: 43A85 22E30 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. A double index transform with a product of Macdonald’s functions revisited. (English) Zbl 1198.44003 Opusc. Math. 29, No. 3, 313-329 (2009). Reviewer: Osman Yürekli (Ithaca) MSC: 44A30 33C10 45E10 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Yan Chang New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. (English) Zbl 1182.42023 Acta Math. Sin., Engl. Ser. 25, No. 11, 1787-1804 (2009). MSC: 42B35 42B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Giang, Bui Thi; Van Mau, Nguyen; Tuan, Nguyen Minh Operational properties of two integral transforms of Fourier type and their convolutions. (English) Zbl 1181.42009 Integral Equations Oper. Theory 65, No. 3, 363-386 (2009). MSC: 42B10 44A20 44A35 47G10 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B.; Britvina, Lyubov E. Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. (English) Zbl 1180.44004 Result. Math. 55, No. 1-2, 175-197 (2009). Reviewer: Dashan Fan (Milwaukee) MSC: 44A35 44A15 44A05 33C10 45A05 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. Sobolev type spaces associated with the Kontorovich-Lebedev transform. (English) Zbl 1181.44006 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 231-239 (2009). MSC: 44A15 46E35 26D10 × Cite Format Result Cite Review PDF
Liu, Congwen; Peng, Lizhong Generalized Helgason-Fourier transforms associated to variants of the Laplace-Beltrami operators on the unit ball in \(\mathbb{R}^{n}\). (English) Zbl 1175.43006 Indiana Univ. Math. J. 58, No. 3, 1457-1492 (2009). Reviewer: Roman Urban (Wrocław) MSC: 43A85 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Chin-Cheng; Wang, Kunchuan Triebel-Lizorkin spaces of para-accretive type and a \(Tb\) theorem. (English) Zbl 1169.42308 J. Geom. Anal. 19, No. 3, 667-694 (2009). MSC: 42B20 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. (English) Zbl 1181.35208 Forum Math. 21, No. 4, 687-722 (2009). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 35Q40 35S30 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deitmar, Anton; Echterhoff, Siegfried Principles of harmonic analysis. (English) Zbl 1158.43001 Universitext. New York, NY: Springer (ISBN 978-0-387-85468-7/pbk; 978-0-387-85469-4/ebook). xv, 333 p. (2009). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 43-02 22-02 22B05 22D25 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Yanchang \(Tb\) theorem for Triebel-Lizorkin spaces over spaces of homogeneous type and their applications. (English) Zbl 1202.42028 Collect. Math. 59, No. 1, 63-78 (2008). Reviewer: Yang Dachun (Beijing) MSC: 42B20 46E35 30L99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Han, Yanchang \(T1\) theorem for inhomogeneous Besov and Triebel-Lizorkin spaces. (Chinese. English summary) Zbl 1199.43010 Acta Sci. Nat. Univ. Sunyatseni 47, No. 4, 1-4, 10 (2008). MSC: 43A85 42B20 46E35 × Cite Format Result Cite Review PDF
Mayeli, Azita Shannon multiresolution analysis on the Heisenberg group. (English) Zbl 1148.43007 J. Math. Anal. Appl. 348, No. 2, 671-684 (2008). MSC: 43A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen Xuan Thao; Nguyen Thanh Hong Integral transforms related to the Fourier sine convolution with a weight function. (English) Zbl 1209.44005 Vietnam J. Math. 36, No. 1, 83-101 (2008). MSC: 44A35 42A38 45F05 × Cite Format Result Cite Review PDF
Ouyang, Yan; Yang, Linge Decay estimate of \(H^1\) solutions for three dimensional viscous Camassa-Holm equations. (Chinese. English summary) Zbl 1150.35509 J. Foshan Univ., Nat. Sci. 25, No. 5, 6-9, 31 (2007). MSC: 35Q30 76D06 × Cite Format Result Cite Review PDF
Dodson, M. M. Groups and the sampling theorem. (English) Zbl 1156.94317 Sampl. Theory Signal Image Process. 6, No. 1, 1-27 (2007). MSC: 94A20 43A25 × Cite Format Result Cite Review PDF
Bogachev, Leonid V.; Su, Zhonggen Gaussian fluctuations of Young diagrams under the Plancherel measure. (English) Zbl 1200.05248 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2080, 1069-1080 (2007). MSC: 05E10 60C05 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Lizhong; Zhang, Genkai Radon transform on H-type and Siegel-type nilpotent groups. (English) Zbl 1148.44001 Int. J. Math. 18, No. 9, 1061-1070 (2007). Reviewer: Rainer Felix (Eichstätt) MSC: 44A12 22D25 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Motohashi, Yoichi Sums of Kloosterman sums revisited. (English) Zbl 1183.11044 Weng, Lin (ed.) et al., Papers of the conference on \(L\)-functions, Fukuoka, Japan, February 18–23, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-504-4/hbk). 141-163 (2007). MSC: 11L05 11F72 × Cite Format Result Cite Review PDF
Han, Yanchang; Xu, Yanbo New characterizations of Besov and Triebel–Lizorkin spaces over spaces of homogeneous type. (English) Zbl 1105.42012 J. Math. Anal. Appl. 325, No. 1, 305-318 (2007). MSC: 42B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Iqbal, M. Techniques for a priori choice of regularizing parameters in Tikhonov regularization. (English) Zbl 1146.65085 Int. Math. Forum 1, No. 5-8, 237-255 (2006). MSC: 65R20 45B05 45E10 65R32 65R30 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, S. B. \(L_{2}\)-boundedness of the gamma-product transform. (English) Zbl 1132.44004 Lith. Math. J. 46, No. 2, 233-245 (2006); and Liet. Mat. Rink. 46, No. 2, 285-297 (2006). MSC: 44A15 33B15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Baccar, C.; Hamadi, N. B.; Rachdi, L. T. Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators. (English) Zbl 1131.44002 Int. J. Math. Math. Sci. 2006, No. 1, Article ID 86238, 26 p. (2006). MSC: 44A15 43A25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Arnold, Vladimir Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams. (English) Zbl 1171.20305 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, 1-7 (2006). MSC: 20C30 05E10 05E05 20C32 60B10 60B15 43A05 × Cite Format Result Cite Review PDF
Olenko, Andrew Ya.; Pogány, Tibor K. Time shifted aliasing error upper bounds for truncated sampling cardinal series. (English) Zbl 1105.94002 J. Math. Anal. Appl. 324, No. 1, 262-280 (2006). MSC: 94A20 41A30 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Pesenson, Isaac Frames for spaces of Paley-Wiener functions on Riemannian manifolds. (English) Zbl 1107.43010 Markoe, Andrew (ed.) et al., Integral geometry and tomography. AMS special session, Rider University, Lawrenceville, NJ, USA, April 17–18, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3755-9/pbk). Contemporary Mathematics 405, 135-148 (2006). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 43A85 42C99 × Cite Format Result Cite Review PDF Full Text: arXiv
Deng, Dongguo; Yang, Dachun Some new Besov and Triebel-Lizorkin spaces associated with para-accretive functions on spaces of homogeneous type. (English) Zbl 1093.42015 J. Aust. Math. Soc. 80, No. 2, 229-262 (2006). MSC: 42B35 46E35 42B25 43A85 47B06 42B20 47A30 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. The Plancherel and Hausdorff-Young type theorems for an index transformation. (English) Zbl 1100.44003 Z. Anal. Anwend. 25, No. 2, 193-204 (2006). Reviewer: R. S. Dahiya (Ames) MSC: 44A20 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Delorme, Patrick On the Paley-Wiener theorem of Arthur. (Sur le théorème de Paley-Wiener d’Arthur.) (French) Zbl 1121.22002 Ann. Math. (2) 162, No. 2, 987-1029 (2005). Reviewer: Jean Ludwig (Metz) MSC: 22E30 43A30 × Cite Format Result Cite Review PDF Full Text: DOI
Yakubovich, Semyon B. The Kontorovich-Lebedev transformation on Sobolev type spaces. (English) Zbl 1091.44003 Sarajevo J. Math. 1(14), No. 2, 211-234 (2005). Reviewer: Ram Kishore Saxena (Jodhpur) MSC: 44A15 46E35 26D10 × Cite Format Result Cite Review PDF
Yakubovich, Semyon B. Analog of the Hausdorff-Young theorem for the Lebedev integral. (English) Zbl 1092.44003 Integral Transforms Spec. Funct. 16, No. 7, 597-607 (2005). Reviewer: Ahmad Al-Salman (Irbid) MSC: 44A15 × Cite Format Result Cite Review PDF Full Text: DOI
Kanjin, Yuichi A transplantation theorem for the Hankel transform on the Hardy space. (English) Zbl 1100.42023 Tohoku Math. J., II. Ser. 57, No. 2, 231-246 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C10 42B30 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
van den Ban, Erik P. The Plancherel theorem for a reductive symmetric space. (English) Zbl 1078.43005 Anker, Jean-Philippe (ed.) et al., Lie theory. Harmonic analysis on symmetric spaces—general Plancherel theorems. Boston, MA: Birkhäuser (ISBN 0-8176-3777-X/hbk ). Progress in Mathematics 230, 1-97 (2005). Reviewer: Gheorghe Zet (Iaşi) MSC: 43A85 53C35 22E45 × Cite Format Result Cite Review PDF
Britvina, L. E. A class of integral transforms related to the Fourier cosine convolution. (English) Zbl 1085.42003 Integral Transforms Spec. Funct. 16, No. 5-6, 379-389 (2005). Reviewer: H.-J. Glaeske (Jena) MSC: 42A38 44A05 44A35 × Cite Format Result Cite Review PDF Full Text: DOI