Kotousov, Gleb A.; Lukyanov, Sergei L. On the scaling behaviour of an integrable spin chain with \(\mathcal{Z}_r\) symmetry. (English) Zbl 07715490 Nucl. Phys., B 993, Article ID 116269, 32 p. (2023). MSC: 81R25 82B20 81V74 17B69 22E70 81T40 81S08 PDFBibTeX XMLCite \textit{G. A. Kotousov} and \textit{S. L. Lukyanov}, Nucl. Phys., B 993, Article ID 116269, 32 p. (2023; Zbl 07715490) Full Text: DOI arXiv
Prinz, David Gauge symmetries and renormalization. (English) Zbl 1510.81100 Math. Phys. Anal. Geom. 25, No. 3, Paper No. 20, 53 p. (2022). MSC: 81T13 81T15 81T17 22E70 16T05 83C45 81V22 17B69 81T18 PDFBibTeX XMLCite \textit{D. Prinz}, Math. Phys. Anal. Geom. 25, No. 3, Paper No. 20, 53 p. (2022; Zbl 1510.81100) Full Text: DOI arXiv
Harikumar, E.; Rajagopal, Vishnu Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence. (English) Zbl 1483.81131 Nucl. Phys., B 974, Article ID 115633, 24 p. (2022). MSC: 81T70 22E43 83D05 81R60 81Q12 81R10 80A21 PDFBibTeX XMLCite \textit{E. Harikumar} and \textit{V. Rajagopal}, Nucl. Phys., B 974, Article ID 115633, 24 p. (2022; Zbl 1483.81131) Full Text: DOI arXiv
Kisielowski, Marcin Properties of the Rovelli-Smolin-DePietri volume operator in the spaces of monochromatic intertwiners. (English) Zbl 1482.83051 Classical Quantum Gravity 38, No. 19, Article ID 195023, 28 p. (2021). MSC: 83C45 28A75 17B81 46B28 81P16 22E70 70S15 81R25 35P05 PDFBibTeX XMLCite \textit{M. Kisielowski}, Classical Quantum Gravity 38, No. 19, Article ID 195023, 28 p. (2021; Zbl 1482.83051) Full Text: DOI arXiv
Calcagni, Gianluca Quantum scalar field theories with fractional operators. (English) Zbl 1482.81031 Classical Quantum Gravity 38, No. 16, Article ID 165006, 46 p. (2021). MSC: 81T20 81T15 83C45 83F05 22E43 PDFBibTeX XMLCite \textit{G. Calcagni}, Classical Quantum Gravity 38, No. 16, Article ID 165006, 46 p. (2021; Zbl 1482.81031) Full Text: DOI arXiv
Chatzakou, Marianna Quantizations on the Engel and the Cartan groups. (English) Zbl 1470.35454 J. Lie Theory 31, No. 2, 517-542 (2021). MSC: 35S05 22E30 35H10 35R03 43A60 PDFBibTeX XMLCite \textit{M. Chatzakou}, J. Lie Theory 31, No. 2, 517--542 (2021; Zbl 1470.35454) Full Text: arXiv Link
Chatzakou, Marianna On \((\lambda,\mu)\)-classes on the Engel group. (English) Zbl 1507.22027 Georgiev, Vladimir (ed.) et al., Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session “Harmonic analysis and partial differential equations”, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Birkhäuser. Trends Math., 37-49 (2020). MSC: 22E25 22E60 35R03 47G30 PDFBibTeX XMLCite \textit{M. Chatzakou}, in: Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session ``Harmonic analysis and partial differential equations'', Aveiro, Portugal, July 29 -- August 2, 2019. Cham: Birkhäuser. 37--49 (2020; Zbl 1507.22027) Full Text: DOI arXiv Link
Cahen, Benjamin The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. (English) Zbl 1475.22019 Tsukuba J. Math. 44, No. 1, 121-137 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E45 81R05 81S10 81R30 PDFBibTeX XMLCite \textit{B. Cahen}, Tsukuba J. Math. 44, No. 1, 121--137 (2020; Zbl 1475.22019) Full Text: DOI Euclid
Esposito, Massimiliano; Ruzhansky, Michael Pseudo-differential operators with nonlinear quantizing functions. (English) Zbl 1450.35309 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 103-130 (2020). Reviewer: Vishvesh Kumar (Delhi) MSC: 35S05 47G30 43A70 43A80 22E25 PDFBibTeX XMLCite \textit{M. Esposito} and \textit{M. Ruzhansky}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 103--130 (2020; Zbl 1450.35309) Full Text: DOI arXiv
Măntoiu, M. Berezin-type operators on the cotangent bundle of a nilpotent group. (English) Zbl 1428.22009 J. Pseudo-Differ. Oper. Appl. 10, No. 3, 535-555 (2019). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 22E25 47G30 22E45 46L65 PDFBibTeX XMLCite \textit{M. Măntoiu}, J. Pseudo-Differ. Oper. Appl. 10, No. 3, 535--555 (2019; Zbl 1428.22009) Full Text: DOI arXiv
Măntoiu, M.; Ruzhansky, M. Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. (English) Zbl 1455.22001 J. Geom. Anal. 29, No. 3, 2823-2861 (2019). Reviewer: E. K. Narayanan (Bangalore) MSC: 22E25 47G30 22E30 PDFBibTeX XMLCite \textit{M. Măntoiu} and \textit{M. Ruzhansky}, J. Geom. Anal. 29, No. 3, 2823--2861 (2019; Zbl 1455.22001) Full Text: DOI arXiv Link
Ohsawa, Tomoki The Hagedorn-Hermite correspondence. (English) Zbl 1418.81023 J. Fourier Anal. Appl. 25, No. 4, 1513-1552 (2019). MSC: 81Q05 20C35 22E70 81Q20 81Q70 81R05 81R30 81S10 81S30 33C45 PDFBibTeX XMLCite \textit{T. Ohsawa}, J. Fourier Anal. Appl. 25, No. 4, 1513--1552 (2019; Zbl 1418.81023) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Măntoiu}, Math. Nachr. 292, No. 5, 1043--1055 (2019; Zbl 1421.22004) Full Text: DOI arXiv
Collins, Benoît; Novak, Jonathan; Śniady, Piotr Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices. (English) Zbl 1404.22032 Sel. Math., New Ser. 24, No. 3, 2571-2623 (2018). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 22E46 60B20 46L54 34L20 PDFBibTeX XMLCite \textit{B. Collins} et al., Sel. Math., New Ser. 24, No. 3, 2571--2623 (2018; Zbl 1404.22032) Full Text: DOI arXiv
Cotaescu, Ion I. Canonical quantization of the covariant fields on de Sitter space-times. (English) Zbl 1385.81040 Int. J. Mod. Phys. A 33, No. 8, Article ID 1830007, 36 p. (2018). MSC: 81T70 81S05 81T20 81R20 22E70 22D30 PDFBibTeX XMLCite \textit{I. I. Cotaescu}, Int. J. Mod. Phys. A 33, No. 8, Article ID 1830007, 36 p. (2018; Zbl 1385.81040) Full Text: DOI arXiv
Bustos, H.; Măntoiu, M. Twisted pseudo-differential operator on type I locally compact groups. (English) Zbl 1368.81115 Ill. J. Math. 60, No. 2, 365-390 (2016). MSC: 81S30 47G30 22D10 22D25 81S10 PDFBibTeX XMLCite \textit{H. Bustos} and \textit{M. Măntoiu}, Ill. J. Math. 60, No. 2, 365--390 (2016; Zbl 1368.81115) Full Text: arXiv Euclid
Batakidis, Panagiotis Equivalence of characters in deformation quantization and Lie theory. (English) Zbl 1298.53094 J. Lie Theory 24, No. 1, 77-96 (2014). Reviewer: Béchir Dali (Riyadh) MSC: 53D55 22E35 17B15 16S32 PDFBibTeX XMLCite \textit{P. Batakidis}, J. Lie Theory 24, No. 1, 77--96 (2014; Zbl 1298.53094) Full Text: Link
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 PDFBibTeX XMLCite \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
Pevzner, Michael Rankin-Cohen brackets and representations of conformal Lie groups. (Crochets de Rankin-Cohen et représentations des groupes de Lie conformes.) (English. French summary) Zbl 1283.11072 Ann. Math. Blaise Pascal 19, No. 2, 455-484 (2012). MSC: 11F11 22E46 47L80 PDFBibTeX XMLCite \textit{M. Pevzner}, Ann. Math. Blaise Pascal 19, No. 2, 455--484 (2012; Zbl 1283.11072) Full Text: DOI
Viña, Andrés Quantization operators and invariants of group representations. (English) Zbl 1248.53076 J. Geom. Symmetry Phys. 24, 89-102 (2011). MSC: 53D50 22E45 PDFBibTeX XMLCite \textit{A. Viña}, J. Geom. Symmetry Phys. 24, 89--102 (2011; Zbl 1248.53076)
Torossian, Charles Applications of bi-quantization to Lie theory. (Applications de la bi-quantification à la théorie de Lie.) (French. English introduction) Zbl 1231.17012 Cattaneo, Alberto S. (ed.) et al., Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff. Basel: Birkhäuser (ISBN 978-0-8176-4734-6/hbk; 978-0-8176-4735-3/ebook). Progress in Mathematics 287, 315-342 (2011). Reviewer: Panagiotis Batakidis (Nicosia) MSC: 17B62 53D55 53D17 22E60 PDFBibTeX XMLCite \textit{C. Torossian}, Prog. Math. 287, 315--342 (2011; Zbl 1231.17012) Full Text: arXiv
Pevzner, Michael Approaching quantization in the light of invariant differential operators. (English) Zbl 1214.81118 van Dijk, Gerrit (ed.) et al., Casimir force, Casimir operators and Riemann hypothesis. Mathematics for innovation in industry and science. Proceedings of the conference, Fukuoka, Japan, November 9–13, 2009. Berlin: de Gruyter (ISBN 978-3-11-022612-6/hbk). 241-248 (2010). MSC: 81S05 81-02 22E46 43A85 47G30 81T70 PDFBibTeX XMLCite \textit{M. Pevzner}, in: Casimir force, Casimir operators and Riemann hypothesis. Mathematics for innovation in industry and science. Proceedings of the conference, Fukuoka, Japan, November 9--13, 2009. Berlin: de Gruyter. 241--248 (2010; Zbl 1214.81118)
Beltiţă, Ingrid; Beltiţă, Daniel Uncertainty principles for magnetic structures on certain coadjoint orbits. (English) Zbl 1179.81102 J. Geom. Phys. 60, No. 1, 81-95 (2010). MSC: 81S10 22E25 22E65 35S05 47G30 81R05 PDFBibTeX XMLCite \textit{I. Beltiţă} and \textit{D. Beltiţă}, J. Geom. Phys. 60, No. 1, 81--95 (2010; Zbl 1179.81102) Full Text: DOI arXiv
Pevzner, Michael Covariant quantization: spectral analysis versus deformation theory. (English) Zbl 1181.81080 Jpn. J. Math. (3) 3, No. 2, 247-290 (2008). MSC: 81S10 81-02 22E46 43A85 47G30 16S80 22E70 53D55 PDFBibTeX XMLCite \textit{M. Pevzner}, Jpn. J. Math. (3) 3, No. 2, 247--290 (2008; Zbl 1181.81080) Full Text: DOI HAL
Krýsl, Svatopluk Symplectic Dirac operator and its generalization. (English) Zbl 1181.81079 Adv. Appl. Clifford Algebr. 18, No. 3-4, 853-863 (2008). MSC: 81S10 17B10 17B20 53D10 81R25 22E70 81R20 PDFBibTeX XMLCite \textit{S. Krýsl}, Adv. Appl. Clifford Algebr. 18, No. 3--4, 853--863 (2008; Zbl 1181.81079) Full Text: DOI
Zuber, Jean-Bernard The large-\(N\) limit of matrix integrals over the orthogonal group. (English) Zbl 1147.82019 J. Phys. A, Math. Theor. 41, No. 38, Article ID 382001, 11 p. (2008). MSC: 82B44 22E70 83C45 PDFBibTeX XMLCite \textit{J.-B. Zuber}, J. Phys. A, Math. Theor. 41, No. 38, Article ID 382001, 11 p. (2008; Zbl 1147.82019) Full Text: DOI arXiv
van Dijk, Gerrit; Pevzner, Michael Ring structures for holomorphic discrete series and Rankin-Cohen brackets. (English) Zbl 1123.22009 J. Lie Theory 17, No. 2, 283-305 (2007). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22E46 22-06 43A85 11F60 PDFBibTeX XMLCite \textit{G. van Dijk} and \textit{M. Pevzner}, J. Lie Theory 17, No. 2, 283--305 (2007; Zbl 1123.22009) Full Text: arXiv Link
Oshima, Toshio A quantization of conjugacy classes of matrices. (English) Zbl 1101.17005 Adv. Math. 196, No. 1, 124-146 (2005). Reviewer: Annegret Paul (Kalamazoo) MSC: 17B35 17B37 17B10 22E47 15A21 PDFBibTeX XMLCite \textit{T. Oshima}, Adv. Math. 196, No. 1, 124--146 (2005; Zbl 1101.17005) Full Text: DOI
Engliš, Miroslav Berezin–Toeplitz quantization on the Schwartz space of bounded symmetric domains. (English) Zbl 1088.47018 J. Lie Theory 15, No. 1, 27-50 (2005). MSC: 47B35 22E30 43A85 53D55 PDFBibTeX XMLCite \textit{M. Engliš}, J. Lie Theory 15, No. 1, 27--50 (2005; Zbl 1088.47018) Full Text: EuDML
Andler, Martin; Sahi, Siddhartha; Torossian, Charles Convolution of invariant distributions: proof of the Kashiwara-Vergne conjecture. (English) Zbl 1059.22008 Lett. Math. Phys. 69, Spec. Iss., 177-203 (2004). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E30 16S30 53D55 16S32 53D17 PDFBibTeX XMLCite \textit{M. Andler} et al., Lett. Math. Phys. 69, 177--203 (2004; Zbl 1059.22008) Full Text: DOI arXiv
Arratia, O.; Martín, M. A.; del Olmo, M. A. Deformation on phase space. (English) Zbl 1028.81033 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 1, 63-81 (2002). Reviewer: Mauro Spera (Brescia) MSC: 81S10 53D55 81R05 22E70 81-02 81R50 81S30 PDFBibTeX XMLCite \textit{O. Arratia} et al., RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 1, 63--81 (2002; Zbl 1028.81033) Full Text: arXiv
Hall, Brian C. Harmonic analysis with respect to heat kernel measure. (English) Zbl 0971.22008 Bull. Am. Math. Soc., New Ser. 38, No. 1, 43-78 (2001). Reviewer: Jeffrey J.Mitchell (Waco) MSC: 22E30 81S30 53D50 60H30 43A32 46E20 PDFBibTeX XMLCite \textit{B. C. Hall}, Bull. Am. Math. Soc., New Ser. 38, No. 1, 43--78 (2001; Zbl 0971.22008) Full Text: DOI arXiv
Hall, Brian C. Holomorphic methods in analysis and mathematical physics. (English) Zbl 0977.46011 Pérez-Esteva, Salvador (ed.) et al., 1st summer school in analysis and mathematical physics. Quantization, the Segal-Bargmann transform and semiclassical analysis. Cuernavaca Morelos, Mexico, June 8-18, 1998. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 260, 1-59 (2000). Reviewer: Klaus Dieter Bierstedt (Paderborn) MSC: 46E20 81S05 81S30 22E30 46E22 46E50 30H05 32A35 32A36 32A37 PDFBibTeX XMLCite \textit{B. C. Hall}, Contemp. Math. 260, 1--59 (2000; Zbl 0977.46011)
Zhou, Mai Quantization on the symplectic leave of \(\text{SU}(n)\) and *-representations of the quantum group \(\text{SU}_q(n)\). (English) Zbl 1004.81513 Chen, Hua (ed.) et al., Partial differential equations and their applications. Proceedings of the conference, Wuhan, China, April 5-9, 1999. Singapore: World Scientific. 309-320 (1999). MSC: 81R50 22E30 47B35 47G30 81S10 PDFBibTeX XMLCite \textit{M. Zhou}, in: Partial differential equations and their applications. Proceedings of the conference, Wuhan, China, April 5--9, 1999. Singapore: World Scientific. 309--320 (1999; Zbl 1004.81513)
Kisil, Vladimir V. Relative convolutions. I: Properties and applications. (English) Zbl 0933.43004 Adv. Math. 147, No. 1, 35-73 (1999). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 43A80 45P05 22E60 32M05 81R30 81S99 22E45 PDFBibTeX XMLCite \textit{V. V. Kisil}, Adv. Math. 147, No. 1, 35--73 (1999; Zbl 0933.43004) Full Text: DOI arXiv
Nistor, Victor; Weinstein, Alan; Xu, Ping Pseudodifferential operators on differential groupoids. (English) Zbl 0940.58014 Pac. J. Math. 189, No. 1, 117-152 (1999). Reviewer: Maria A.Ragusa (Catania) MSC: 58H05 58J40 35S35 22A22 22E65 PDFBibTeX XMLCite \textit{V. Nistor} et al., Pac. J. Math. 189, No. 1, 117--152 (1999; Zbl 0940.58014) Full Text: DOI arXiv
Astashkevich, Alexander; Brylinski, Ranee Exotic differential operators on complex minimal nilpotent orbits. (English) Zbl 0918.16021 Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 19-51 (1999). Reviewer: A.G.Aleksandrov (Moskva) MSC: 16S32 53D50 14L30 81S10 17B20 22E46 PDFBibTeX XMLCite \textit{A. Astashkevich} and \textit{R. Brylinski}, Prog. Math. 172, 19--51 (1999; Zbl 0918.16021) Full Text: arXiv
van Dijk, G.; Molchanov, V. F. The Berezin form for rank one para-Hermitian symmetric spaces. (English) Zbl 0919.43007 J. Math. Pures Appl., IX. Sér. 77, No. 8, 747-799 (1998). Reviewer: M.Engliš (Praha) MSC: 43A85 22E46 PDFBibTeX XMLCite \textit{G. van Dijk} and \textit{V. F. Molchanov}, J. Math. Pures Appl. (9) 77, No. 8, 747--799 (1998; Zbl 0919.43007) Full Text: DOI
Weinstein, Alan; Xu, Ping Hochschild cohomology and characteristic classes for star-products. (English) Zbl 0956.53055 Khovanskij, A. (ed.) et al., Geometry of differential equations. Dedicated to V. I. Arnold on the occasion of his 60th birthday. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 186(39), 177-194 (1998). MSC: 53D55 57R20 19D55 22A22 PDFBibTeX XMLCite \textit{A. Weinstein} and \textit{P. Xu}, Transl., Ser. 2, Am. Math. Soc. 186, 177--194 (1998; Zbl 0956.53055) Full Text: arXiv
Hall, Brian C. Quantum mechanics in phase space. (English) Zbl 0898.22002 Coburn, Lewis A. (ed.) et al., Perspectives on quantization. Proceedings of a 1996 AMS-IMS-SIAM joint summer research conference, Mt. Holyoke College, South Hadley, MA, USA, July 7–11, 1996. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 214, 47-62 (1998). Reviewer: O.Costinescu (Iaşi) MSC: 22E30 81S10 22E70 53C55 81R30 58J35 PDFBibTeX XMLCite \textit{B. C. Hall}, Contemp. Math. 214, 47--62 (1998; Zbl 0898.22002)
Miyazaki, Naoya A remark on the Maslov form on the group generated by invertible Fourier integrable operators. (English) Zbl 0913.22014 Lett. Math. Phys. 42, No. 1, 35-41 (1997). Reviewer: C.Udrişte (Bucureşti) MSC: 22E65 53C15 PDFBibTeX XMLCite \textit{N. Miyazaki}, Lett. Math. Phys. 42, No. 1, 35--41 (1997; Zbl 0913.22014) Full Text: DOI
Mickelsson, Jouko Schwinger terms, gerbes, and operator residues. (English) Zbl 1013.17505 Budzyński, Robert (ed.) et al., Symplectic singularities and geometry of gauge fields. Proceedings of the Banach Center symposium on differential geometry and mathematical physics in Spring 1995, Warsaw, Poland. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 39, 345-361 (1997). Reviewer: O.Ninnemann (Berlin) MSC: 17B81 81R10 17B66 81T50 22E65 58J50 81T17 PDFBibTeX XMLCite \textit{J. Mickelsson}, Banach Cent. Publ. 39, 345--361 (1997; Zbl 1013.17505) Full Text: arXiv EuDML Link
Mukunda, N. Symplectic techniques in mechanics and optics. (English) Zbl 0856.22008 J. Indian Inst. Sci. 75, No. 3, 289-296 (1995). Reviewer: K.B.Wolf (Mexico City) MSC: 22E10 22E70 78A02 81S10 PDFBibTeX XMLCite \textit{N. Mukunda}, J. Indian Inst. Sci. 75, No. 3, 289--296 (1995; Zbl 0856.22008)
Brylinski, Ranee; Kostant, Bertram Lagrangian models of minimal representations of \(E_ 6\), \(E_ 7\) and \(E_ 8\). (English) Zbl 0851.22017 Gindikin, Simon (ed.) et al., Functional analysis on the eve of the 21st century. Volume I. In honor of the eightieth birthday of I. M. Gelfand. Proceedings of the conference, held at Rutgers University, New Brunswick, NJ, October 24-27, 1993. Boston, MA: Birkhäuser. Prog. Math. 131, 13-63 (1995). Reviewer: K.-H.Neeb (Erlangen) MSC: 22E46 PDFBibTeX XMLCite \textit{R. Brylinski} and \textit{B. Kostant}, Prog. Math. 131, 13--63 (1995; Zbl 0851.22017)
Schempp, Walter Non-commutative affine geometry and symbol calculus: Fourier transform magnetic resonance imaging and wavelets. (English) Zbl 0844.92011 Result. Math. 28, No. 3-4, 303-344 (1995). MSC: 92C55 81V10 81S10 44A12 22E70 42C40 43A80 PDFBibTeX XMLCite \textit{W. Schempp}, Result. Math. 28, No. 3--4, 303--344 (1995; Zbl 0844.92011) Full Text: DOI
Liguori, A.; Mintchev, M.; Rossi, M. Unitary group representations in Fock spaces with generalized exchange properties. (English) Zbl 0835.22020 Lett. Math. Phys. 35, No. 2, 163-177 (1995). Reviewer: G.Roepstorff (Aachen) MSC: 22E70 81T05 81R05 81R50 81S05 PDFBibTeX XMLCite \textit{A. Liguori} et al., Lett. Math. Phys. 35, No. 2, 163--177 (1995; Zbl 0835.22020) Full Text: DOI
Sternheimer, Daniel Star products: Their ubiquity and unicity. (English) Zbl 0905.17026 Bertrand, J. (ed.) et al., Modern group theoretical methods in physics. Proceedings of the conference in honour of Guy Rideau on the occasion of his retirement, Paris, France, January 1995. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 18, 255-265 (1995). MSC: 17B66 53D50 46L89 22E99 81S10 PDFBibTeX XMLCite \textit{D. Sternheimer}, Math. Phys. Stud. 18, 255--265 (1995; Zbl 0905.17026)
Sternin, Boris; Shatalov, Victor Fourier-Gauss transformation and quantization. (English) Zbl 0866.43003 Borisovich, Yu. G. (ed.) et al., Applied aspects of global analysis. Voronezh: Voronezh University Press. Nov. Global’nom Anal. 57-93 (1994). Reviewer: P.Prešnajder (Bratislava) MSC: 43A30 81S30 22E70 35S05 PDFBibTeX XMLCite \textit{B. Sternin} and \textit{V. Shatalov}, in: Prikladnye aspekty global'nogo analiza. Voronezh: Voronezh University Press. 57--93 (1994; Zbl 0866.43003)
Wildberger, N. J. On the Fourier transform of a compact semisimple Lie group. (English) Zbl 0842.22015 J. Aust. Math. Soc., Ser. A 56, No. 1, 64-116 (1994). Reviewer: A.Strasburger (Warszawa) MSC: 22E46 43A32 53D50 43A75 PDFBibTeX XMLCite \textit{N. J. Wildberger}, J. Aust. Math. Soc., Ser. A 56, No. 1, 64--116 (1994; Zbl 0842.22015)
Krause, J. Quantum kinematics of boson ladder operators of non-Abelian non-compact Lie groups. (English) Zbl 0813.22011 J. Phys. A, Math. Gen. 26, No. 22, 6285-6301 (1993). MSC: 22E70 17B81 81S10 81R99 PDFBibTeX XMLCite \textit{J. Krause}, J. Phys. A, Math. Gen. 26, No. 22, 6285--6301 (1993; Zbl 0813.22011) Full Text: DOI
Nessonov, N. I. Representations of infinite-dimensional matrix groups and associated dynamical systems. (English) Zbl 0813.22008 Arveson, W. B. (ed.) et al., Operator algebras and operator theory. Proceedings of the OATE 2 conference, Bucharest, Romania, 1989. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 271, 157-167 (1992). Reviewer: A.Klimyk (Kiev) MSC: 22E65 22D10 57S30 53D50 PDFBibTeX XMLCite \textit{N. I. Nessonov}, Pitman Res. Notes Math. Ser. 271, 157--167 (1992; Zbl 0813.22008)
Karabegov, A. V. An operator on a one-sheeted hyperboloid over a finite field. (English. Russian original) Zbl 0836.20066 J. Contemp. Math. Anal., Armen. Acad. Sci. 26, No. 6, 53-64 (1991); translation from Izv. Akad. Nauk Armen., Mat. 26, No. 6, 504-515 (1991). Reviewer: V.F.Molchanov (Glasgow) MSC: 20G40 22E70 20G45 53C15 53D50 20G05 PDFBibTeX XMLCite \textit{A. V. Karabegov}, J. Contemp. Math. Anal., Armen. Acad. Sci. 26, No. 6, 1 (1991; Zbl 0836.20066); translation from Izv. Akad. Nauk Armen., Mat. 26, No. 6, 504--515 (1991)
Ellinas, D. Phase operators via group contraction. (English) Zbl 0726.70007 J. Math. Phys. 32, No. 1, 135-141 (1991). MSC: 70G10 53D50 81S10 70H99 22E45 PDFBibTeX XMLCite \textit{D. Ellinas}, J. Math. Phys. 32, No. 1, 135--141 (1991; Zbl 0726.70007) Full Text: DOI
Gadella, Manuel; Martín, Miguel A.; Nieto, Luis M.; del Olmo, Mariano A. The Stratonovich-Weyl correspondence for one-dimensional kinematical groups. (English) Zbl 0746.22016 J. Math. Phys. 32, No. 5, 1182-1192 (1991). MSC: 22E70 81S30 47N30 53D50 PDFBibTeX XMLCite \textit{M. Gadella} et al., J. Math. Phys. 32, No. 5, 1182--1192 (1991; Zbl 0746.22016) Full Text: DOI
Krause, J. Non-Abelian group quantization and quantum kinematic invariants of some noncompact Lie groups. (English) Zbl 0735.22013 J. Math. Phys. 32, No. 2, 348-355 (1991). Reviewer: B.G.Konopelchenko (Novosibirsk) MSC: 22E70 17B81 PDFBibTeX XMLCite \textit{J. Krause}, J. Math. Phys. 32, No. 2, 348--355 (1991; Zbl 0735.22013) Full Text: DOI
Mori, Keiichi Algebraic quantization and \(L^ 2\)-index theorem. I, II. (English) Zbl 0723.22008 J. Fac. Sci. Technol., Kinki Univ. 26, 1-7, 9-15 (1990). MSC: 22E27 43A80 58J20 53D50 58J05 PDFBibTeX XML
Rieffel, Marc A. Lie group convolution algebras as deformation quantizations of linear Poisson structures. (English) Zbl 0713.58054 Am. J. Math. 112, No. 4, 657-686 (1990). Reviewer: A.Crumeyrolle MSC: 58J40 22E70 43A30 PDFBibTeX XMLCite \textit{M. A. Rieffel}, Am. J. Math. 112, No. 4, 657--686 (1990; Zbl 0713.58054) Full Text: DOI
Rieffel, Marc A. Non-commutative tori - a case study of non-commutative differentiable manifolds. (English) Zbl 0713.46046 Geometric and topological invariants of elliptic operators, Proc. AMS- IMS-SIAM Jt. Summer Res. Conf., Brunswick/ME (USA) 1988, Contemp. Math. 105, 191-211 (1990). Reviewer: L.Maxim Răileanu MSC: 46L87 46L80 22D25 PDFBibTeX XML
Pukanszky, L. On a property of the quantization map for the coadjoint orbits of connected Lie groups. (English) Zbl 0736.22006 The orbit method in representation theory, Proc. Conf., Copenhagen/Den. 1988, Prog. Math. 82, 187-211 (1990). Reviewer: C.-L.Bejan (Iaşi) MSC: 22E27 43A85 37J99 PDFBibTeX XMLCite \textit{L. Pukanszky}, Prog. Math. None, 187--211 (1990; Zbl 0736.22006)
Kostant, Bertram A formula of Gauss-Kummer and the trace of certain intertwining operators. (English) Zbl 0746.22010 The orbit method in representation theory, Proc. Conf., Copenhagen/Den. 1988, Prog. Math. 82, 99-134 (1990). Reviewer: S.Gelbart (Rehovot) MSC: 22E46 33C80 43A90 81S10 PDFBibTeX XMLCite \textit{B. Kostant}, Prog. Math. None, 99--134 (1990; Zbl 0746.22010)
Zelenov, E. I. p-adic quantum mechanics for \(p=2\). (English. Russian original) Zbl 0698.43006 Theor. Math. Phys. 80, No. 2, 848-856 (1989); translation from Teor. Mat. Fiz. 80, No. 2, 253-263 (1989). MSC: 43A80 81S10 22E70 12H25 34G99 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Theor. Math. Phys. 80, No. 2, 848--856 (1989; Zbl 0698.43006); translation from Teor. Mat. Fiz. 80, No. 2, 253--263 (1989) Full Text: DOI
Pedersen, Niels Vigand Geometric quantization and the universal enveloping algebra of a nilpotent Lie group. (English) Zbl 0684.22004 Trans. Am. Math. Soc. 315, No. 2, 511-563 (1989). Reviewer: D.Müller MSC: 22E27 43A85 37J99 53C15 PDFBibTeX XMLCite \textit{N. V. Pedersen}, Trans. Am. Math. Soc. 315, No. 2, 511--563 (1989; Zbl 0684.22004) Full Text: DOI
Zelenov, E. I. p-adic quantum mechanics for \(p=2\). (Russian. English summary) Zbl 0682.43009 Teor. Mat. Fiz. 80, No. 2, 253-263 (1989). Reviewer: P.Maślanka MSC: 43A80 81S10 22E70 12H25 34G99 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Teor. Mat. Fiz. 80, No. 2, 253--263 (1989; Zbl 0682.43009)
Do Ngoc Ziep Multidimensional quantization. IV: The generic representations. (English) Zbl 0693.58007 Acta Math. Vietnam. 13, No. 1, 67-72 (1988). MSC: 53D50 22E70 81R10 37J99 37G99 58J40 PDFBibTeX XMLCite \textit{Do Ngoc Ziep}, Acta Math. Vietnam. 13, No. 1, 67--72 (1988; Zbl 0693.58007)
Unterberger, André Harmonic analysis and pseudodifferential analysis of the light cone. (Analyse harmonique et analyse pseudo-différentielle du cône de lumière.) (French) Zbl 0643.35118 Centre National de la Recherche Scientifique (France). Astérisque, 156 (1987). Paris: Société Mathématique de France. 201 p. FF 135.00; $ 24.00 (1988). Reviewer: L.Rodino MSC: 35S05 35-02 43-02 58J40 81S10 22E43 32M15 53C35 58J70 81R30 81T20 PDFBibTeX XML
Pedersen, Niels Vigand On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I. (English) Zbl 0629.22004 Math. Ann. 281, No. 4, 633-669 (1988). MSC: 22E27 43A85 37J99 53C15 PDFBibTeX XMLCite \textit{N. V. Pedersen}, Math. Ann. 281, No. 4, 633--669 (1988; Zbl 0629.22004) Full Text: DOI EuDML
Zeidler, Eberhard Nonlinear functional analysis and its applications. IV: Applications to mathematical physics. Transl. from the German by Juergen Quandt. (English) Zbl 0648.47036 New York etc.: Springer-Verlag. xxiii, 975 p. DM 298.00 (1988). Reviewer: H.Troger MSC: 47Hxx 53B50 22E15 83C05 83F05 53A15 PDFBibTeX XMLCite \textit{E. Zeidler}, Nonlinear functional analysis and its applications. IV: Applications to mathematical physics. Transl. from the German by Juergen Quandt. New York etc.: Springer-Verlag (1988; Zbl 0648.47036)
Karabegov, A. V. On an operator connecting the pq-and qp-symbols on a one-sheeted hyperboloid. (English. Russian original) Zbl 0629.22013 Russ. Math. Surv. 42, No. 2, 281-282 (1987); translation from Usp. Mat. Nauk 42, No. 2(254), 229-230 (1987). Reviewer: V.F.Molchanov MSC: 22E70 53D50 PDFBibTeX XMLCite \textit{A. V. Karabegov}, Russ. Math. Surv. 42, No. 2, 281--282 (1987; Zbl 0629.22013); translation from Usp. Mat. Nauk 42, No. 2(254), 229--230 (1987) Full Text: DOI
Chernoff, Paul R. Irreducible representations of infinite-dimensional transformation groups and Lie algebras. (English) Zbl 0578.58022 Bull. Am. Math. Soc., New Ser. 13, 46-48 (1985). MSC: 53D50 22E65 17B65 81R10 22A25 PDFBibTeX XMLCite \textit{P. R. Chernoff}, Bull. Am. Math. Soc., New Ser. 13, 46--48 (1985; Zbl 0578.58022) Full Text: DOI
Klink, W. H. Scattering operators on Fock space. I: Compact groups and internal symmetries. (English) Zbl 0578.22019 J. Phys. A 18, 3141-3150 (1985). Reviewer: Gert Roepstorff (Aachen) MSC: 22E70 81U20 PDFBibTeX XMLCite \textit{W. H. Klink}, J. Phys. A, Math. Gen. 18, 3141--3150 (1985; Zbl 0578.22019) Full Text: DOI
Guillemin, V.; Sternberg, S. Homogeneous quantization and multiplicities of group representations. (English) Zbl 0733.58021 J. Funct. Anal. 47, No. 3, 344-380 (1982). MSC: 53D50 22E45 58J40 PDFBibTeX XMLCite \textit{V. Guillemin} and \textit{S. Sternberg}, J. Funct. Anal. 47, 344--380 (1982; Zbl 0733.58021) Full Text: DOI
Il, Kiyotaka Fourier-like transformation and a representation of the Lie algebra \({\mathfrak so}(n+1,2)\). (English) Zbl 0535.58027 Hiroshima Math. J. 12, 421-433 (1982). Reviewer: C.Günther MSC: 53D50 22E70 42B10 PDFBibTeX XMLCite \textit{K. Il}, Hiroshima Math. J. 12, 421--433 (1982; Zbl 0535.58027)
Do Ngoc Ziep Quantification des systèmes hamiltonien à l’action plate d’un groupe de Lie. (French) Zbl 0501.58024 C. R. Acad. Sci., Paris, Sér. I 295, 345-348 (1982). MSC: 53D50 37J99 22E70 22E45 PDFBibTeX XMLCite \textit{Do Ngoc Ziep}, C. R. Acad. Sci., Paris, Sér. I 295, 345--348 (1982; Zbl 0501.58024)
Guillemin, V.; Sternberg, Sh. Geometric asymptotics. (Geometricheskie asimptotiki). Transl. from the English and with a preface by S. G. Gindikin. (Russian) Zbl 0498.58003 Moskva: ”Mir”. 502 p. R. 2.20 (1981). MSC: 58-02 53-02 37J99 35B40 44A99 53C15 58J99 58J35 58J40 58J50 53D50 22E27 78A05 58J45 58J47 53C80 PDFBibTeX XML
Martínez Alonso, Luis A new infinite-dimensional Kirillov’s structure related with nonlinear evolution equations. (English) Zbl 0488.58012 Lett. Math. Phys. 5, 99-103 (1981). MSC: 53D50 58D25 17B65 37J35 37K10 22E60 PDFBibTeX XMLCite \textit{L. Martínez Alonso}, Lett. Math. Phys. 5, 99--103 (1981; Zbl 0488.58012) Full Text: DOI
Palev, T. D. Causal A-statistics. I: General properties. (English) Zbl 0531.17003 Rep. Math. Phys. 18, 117-128 (1980). MSC: 17B81 81S05 22E70 82B10 46N99 PDFBibTeX XMLCite \textit{T. D. Palev}, Rep. Math. Phys. 18, 117--128 (1980; Zbl 0531.17003) Full Text: DOI
Huynh, T. V. Star-polarization: A natural link between phase space representation and operator representation of quantum mechanics. (English) Zbl 0464.58011 Lett. Math. Phys. 4, 201-208 (1980). MSC: 53D50 81T05 81R10 22E70 PDFBibTeX XMLCite \textit{T. V. Huynh}, Lett. Math. Phys. 4, 201--208 (1980; Zbl 0464.58011) Full Text: DOI
Reyman, A. G.; Semenov-Tian-Shansky, Michael A. A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators. (English) Zbl 0455.58016 Funct. Anal. Appl. 14, 146-148 (1980). MSC: 53D50 58J99 37J99 17B65 22E65 58D15 PDFBibTeX XMLCite \textit{A. G. Reyman} and \textit{M. A. Semenov-Tian-Shansky}, Funct. Anal. Appl. 14, 146--148 (1980; Zbl 0455.58016) Full Text: DOI
Unterberger, Andre Décompositions spectrales approchees associees à une famille d’oscillateurs harmoniques. (French) Zbl 0399.47032 C. R. Acad. Sci., Paris, Sér. A 287, 783-785 (1978). MSC: 47B40 22E30 81R10 PDFBibTeX XMLCite \textit{A. Unterberger}, C. R. Acad. Sci., Paris, Sér. A 287, 783--785 (1978; Zbl 0399.47032)
Guillemin, Victor Lectures on spectral theory of elliptic operators. (English) Zbl 0447.58033 Duke Math. J. 44, 485-517 (1977). MSC: 58J50 58J10 53D50 70H99 58J40 37G99 22E46 43A80 PDFBibTeX XMLCite \textit{V. Guillemin}, Duke Math. J. 44, 485--517 (1977; Zbl 0447.58033) Full Text: DOI