Valverde, Cesar A relative trace formula between the general linear and the metaplectic group. II: descent. (English) Zbl 07523006 JP J. Algebra Number Theory Appl. 50, No. 2, 113-136 (2021). MSC: 22E55 11F99 PDF BibTeX XML Cite \textit{C. Valverde}, JP J. Algebra Number Theory Appl. 50, No. 2, 113--136 (2021; Zbl 07523006) Full Text: DOI OpenURL
Schempp, Walter J. Applications of metaplectic cohomology and global-local contact holonomy. (English) Zbl 07435161 J. Appl. Math. Comput. 65, No. 1-2, 1-66 (2021). MSC: 81S10 70G65 70G45 57R17 53C80 53C38 53C27 53C22 53C12 22E25 14H81 11E08 11G07 11R11 PDF BibTeX XML Cite \textit{W. J. Schempp}, J. Appl. Math. Comput. 65, No. 1--2, 1--66 (2021; Zbl 07435161) Full Text: DOI OpenURL
de Gosson, Maurice A. Quantum harmonic analysis. An introduction. (English) Zbl 1476.81001 Advances in Analysis and Geometry 4. Berlin: De Gruyter (ISBN 978-3-11-072261-1/hbk; 978-3-11-072277-2/ebook). xvii, 220 p. (2021). Reviewer: Bassano Vacchini (Milano) MSC: 81-01 42-01 81S30 81P16 81P40 42B35 47B90 PDF BibTeX XML Cite \textit{M. A. de Gosson}, Quantum harmonic analysis. An introduction. Berlin: De Gruyter (2021; Zbl 1476.81001) Full Text: DOI OpenURL
Dereziński, Jan; Karczmarczyk, Maciej Quantization of Gaussians. (English) Zbl 07240453 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 277-304 (2020). Reviewer: Salvatore Ivan Trapasso (Torino) MSC: 47D06 81S10 PDF BibTeX XML Cite \textit{J. Dereziński} and \textit{M. Karczmarczyk}, Oper. Theory: Adv. Appl. 276, 277--304 (2020; Zbl 07240453) Full Text: DOI arXiv OpenURL
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio A characterization of modulation spaces by symplectic rotations. (English) Zbl 1434.42035 J. Funct. Anal. 278, No. 11, Article ID 108474, 19 p. (2020). MSC: 42B35 42B10 22C05 PDF BibTeX XML Cite \textit{E. Cordero} et al., J. Funct. Anal. 278, No. 11, Article ID 108474, 19 p. (2020; Zbl 1434.42035) Full Text: DOI arXiv OpenURL
Faulhuber, Markus On the parity under metapletic operators and an extension of a result of Lyubarskii and Nes. (English) Zbl 1434.42042 Result. Math. 75, No. 1, Paper No. 8, 16 p. (2020). MSC: 42C15 81S10 47G30 PDF BibTeX XML Cite \textit{M. Faulhuber}, Result. Math. 75, No. 1, Paper No. 8, 16 p. (2020; Zbl 1434.42042) Full Text: DOI arXiv OpenURL
Schempp, Walter J. Dynamic metaplectic spinor quantization: the projective correspondence for spectral dual pairs. (English) Zbl 1448.81388 J. Appl. Math. Comput. 59, No. 1-2, 545-584 (2019). MSC: 81S10 81T20 70G65 70G45 57R17 51N35 53C27 30F10 22E46 22E25 14H81 14H55 14H52 14M15 14N05 PDF BibTeX XML Cite \textit{W. J. Schempp}, J. Appl. Math. Comput. 59, No. 1--2, 545--584 (2019; Zbl 1448.81388) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Ohsawa}, J. Fourier Anal. Appl. 25, No. 4, 1513--1552 (2019; Zbl 1418.81023) Full Text: DOI arXiv OpenURL
de Gosson, Maurice Emergence of the quantum from the classical. Mathematical aspects of quantum processes. (English) Zbl 1391.81003 Hackensack, NJ: World Scientific (ISBN 978-1-78634-414-4/hbk; 978-1-78634-416-8/ebook). xix, 285 p. (2018). Reviewer: Wolfgang G. Hollik (Hamburg) MSC: 81-01 81P05 37J05 70G45 53C23 70H05 81S10 81Q65 PDF BibTeX XML Cite \textit{M. de Gosson}, Emergence of the quantum from the classical. Mathematical aspects of quantum processes. Hackensack, NJ: World Scientific (2018; Zbl 1391.81003) Full Text: DOI OpenURL
Friedberg, Solomon; Ginzburg, David Theta functions on covers of symplectic groups. (English) Zbl 1425.11107 Bull. Iran. Math. Soc. 43, No. 4, 89-116 (2017). Reviewer: Kam-Fai Tam (Bonn) MSC: 11F70 11F27 11F55 11F30 PDF BibTeX XML Cite \textit{S. Friedberg} and \textit{D. Ginzburg}, Bull. Iran. Math. Soc. 43, No. 4, 89--116 (2017; Zbl 1425.11107) Full Text: arXiv Link OpenURL
Farashahi, Arash Ghaani Square-integrability of multivariate metaplectic wave-packet representations. (English) Zbl 1362.81046 J. Phys. A, Math. Theor. 50, No. 11, Article ID 115202, 22 p. (2017). MSC: 81R30 81Q05 81Q70 53D22 PDF BibTeX XML Cite \textit{A. G. Farashahi}, J. Phys. A, Math. Theor. 50, No. 11, Article ID 115202, 22 p. (2017; Zbl 1362.81046) Full Text: DOI OpenURL
de Gosson, Maurice A. The canonical group of transformations of a Weyl-Heisenberg frame; applications to Gaussian and Hermitian frames. (English) Zbl 1357.81104 J. Geom. Phys. 114, 375-383 (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 81Q70 81T20 53Z05 42C15 PDF BibTeX XML Cite \textit{M. A. de Gosson}, J. Geom. Phys. 114, 375--383 (2017; Zbl 1357.81104) Full Text: DOI OpenURL
De Mari, Filippo; De Vito, Ernesto; Vigogna, Stefano Geometric classification of semidirect products in the maximal parabolic subgroup of \(\mathrm{Sp}(2,\mathbb{R})\). (English) Zbl 1370.22008 Anal. Appl., Singap. 15, No. 2, 241-259 (2017). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E15 43A80 PDF BibTeX XML Cite \textit{F. De Mari} et al., Anal. Appl., Singap. 15, No. 2, 241--259 (2017; Zbl 1370.22008) Full Text: DOI arXiv OpenURL
de Gosson, Maurice A. [Hiley, Basil] The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. (English) Zbl 1358.70001 Hackensack, NJ: World Scientific (ISBN 978-981-3200-96-8/hbk; 978-981-3200-98-2/ebook). xxv, 396 p. (2017). MSC: 70-02 81-02 PDF BibTeX XML Cite \textit{M. A. de Gosson}, The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\). With a forword by Basil Hiley. 2nd edition. Hackensack, NJ: World Scientific (2017; Zbl 1358.70001) Full Text: DOI OpenURL
de Gosson, Maurice A. Hamiltonian deformations of Gabor frames: first steps. (English) Zbl 1306.81042 Appl. Comput. Harmon. Anal. 38, No. 2, 196-221 (2015). MSC: 81Q05 81R30 81Q20 81Q70 70H15 PDF BibTeX XML Cite \textit{M. A. de Gosson}, Appl. Comput. Harmon. Anal. 38, No. 2, 196--221 (2015; Zbl 1306.81042) Full Text: DOI arXiv OpenURL
Krýsl, Svatopluk Analysis over \(C^*\)-algebras and the oscillatory representation. (English) Zbl 1321.81036 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima. 173-195 (2014). MSC: 81S10 53D05 14F40 58J10 PDF BibTeX XML Cite \textit{S. Krýsl}, in: Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7--12, 2013. Sofia: Avangard Prima. 173--195 (2014; Zbl 1321.81036) Full Text: DOI OpenURL
de Gosson, Maurice A.; Luef, Franz Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. (English) Zbl 1322.43003 J. Math. Anal. Appl. 416, No. 2, 947-968 (2014). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A25 42C99 42C15 PDF BibTeX XML Cite \textit{M. A. de Gosson} and \textit{F. Luef}, J. Math. Anal. Appl. 416, No. 2, 947--968 (2014; Zbl 1322.43003) Full Text: DOI OpenURL
Krýsl, Svatopluk Analysis over \(C^*\)-algebras and the oscillatory representation. (English) Zbl 1311.81159 J. Geom. Symmetry Phys. 33, 1-25 (2014). Reviewer: Monika Winklmeier (Bogotá) MSC: 81S10 53D05 14F40 58J10 PDF BibTeX XML Cite \textit{S. Krýsl}, J. Geom. Symmetry Phys. 33, 1--25 (2014; Zbl 1311.81159) OpenURL
Czaja, Wojciech; King, Emily J. Anisotropic shearlet transforms for \(L^{2}(\mathbb R^k)\). (English) Zbl 1322.42041 Math. Nachr. 287, No. 8-9, 903-916 (2014). Reviewer: Qiao-Fang Lian (Beijing) MSC: 42C40 43A65 47A67 PDF BibTeX XML Cite \textit{W. Czaja} and \textit{E. J. King}, Math. Nachr. 287, No. 8--9, 903--916 (2014; Zbl 1322.42041) Full Text: DOI OpenURL
Alberti, G. S.; Balletti, L.; De Mari, F.; De Vito, E. Reproducing subgroups of \(Sp(2,\mathbb{R})\). I: Algebraic classification. (English) Zbl 1311.22008 J. Fourier Anal. Appl. 19, No. 4, 651-682 (2013). Reviewer: Łukasz Garncarek (Warszawa) MSC: 22E15 43A80 PDF BibTeX XML Cite \textit{G. S. Alberti} et al., J. Fourier Anal. Appl. 19, No. 4, 651--682 (2013; Zbl 1311.22008) Full Text: DOI arXiv OpenURL
De Gosson, Maurice A. Symplectic covariance properties for Shubin and Born-Jordan pseudo-differential operators. (English) Zbl 1278.47050 Trans. Am. Math. Soc. 365, No. 6, 3287-3307 (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 47G30 35Q40 65P10 35S05 42B10 PDF BibTeX XML Cite \textit{M. A. De Gosson}, Trans. Am. Math. Soc. 365, No. 6, 3287--3307 (2013; Zbl 1278.47050) Full Text: DOI arXiv OpenURL
Sun, Binyong Multiplicity one theorems for Fourier-Jacobi models. (English) Zbl 1280.22022 Am. J. Math. 134, No. 6, 1655-1678 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 PDF BibTeX XML Cite \textit{B. Sun}, Am. J. Math. 134, No. 6, 1655--1678 (2012; Zbl 1280.22022) Full Text: DOI arXiv OpenURL
Fang, Yingjue; Sun, Binyong On conjugacy classes in metaplectic groups. (English) Zbl 1229.22012 J. Number Theory 131, No. 11, 2078-2080 (2011). Reviewer: Gerhard Rosenberger (Hamburg) MSC: 22E46 22E50 20H10 PDF BibTeX XML Cite \textit{Y. Fang} and \textit{B. Sun}, J. Number Theory 131, No. 11, 2078--2080 (2011; Zbl 1229.22012) Full Text: DOI arXiv OpenURL
Zorn, Christian Explicit doubling integrals for \(\mathrm{Sp}_2(F)\) and \(\widetilde{\mathrm{Sp}_2(F)}\) using “good test vectors”. (English) Zbl 1222.22017 Int. J. Number Theory 7, No. 2, 449-527 (2011). Reviewer: Yuval Z. Flicker (Columbus) MSC: 22E50 11F27 11F70 PDF BibTeX XML Cite \textit{C. Zorn}, Int. J. Number Theory 7, No. 2, 449--527 (2011; Zbl 1222.22017) Full Text: DOI OpenURL
Huhtanen, Marko; Ruotsalainen, Santtu Factoring in the metaplectic group and optics. (English) Zbl 1220.42007 Oper. Matrices 5, No. 1, 173-181 (2011). Reviewer: Alexander V. Gemintern (Jerusalem) MSC: 42B10 78M25 65F30 PDF BibTeX XML Cite \textit{M. Huhtanen} and \textit{S. Ruotsalainen}, Oper. Matrices 5, No. 1, 173--181 (2011; Zbl 1220.42007) Full Text: DOI Link OpenURL
de Gosson, Maurice A. Symplectic methods in harmonic analysis and in mathematical physics. (English) Zbl 1247.81510 Pseudo-Differential Operators. Theory and Applications 7. Basel: Birkhäuser (ISBN 978-3-7643-9991-7/pbk; 978-3-7643-9992-4/ebook). xxiv, 337 p. (2011). Reviewer: Franz Luef (Berkeley) MSC: 81T70 35S05 35P99 PDF BibTeX XML Cite \textit{M. A. de Gosson}, Symplectic methods in harmonic analysis and in mathematical physics. Basel: Birkhäuser (2011; Zbl 1247.81510) Full Text: DOI OpenURL
Zorn, Christian Reducibility of the principal series for \(\widetilde {Sp}_2(F)\) over a \(p\)-adic field. (English) Zbl 1202.22021 Can. J. Math. 62, No. 4, 914-960 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E50 11F70 20G05 PDF BibTeX XML Cite \textit{C. Zorn}, Can. J. Math. 62, No. 4, 914--960 (2010; Zbl 1202.22021) Full Text: DOI OpenURL
Howard, Tatiana K. Lifting of characters on \(p\)-adic orthogonal and metaplectic groups. (English) Zbl 1192.22008 Compos. Math. 146, No. 3, 795-810 (2010). Reviewer: Gerhard Rosenberger (Hamburg) MSC: 22E50 PDF BibTeX XML Cite \textit{T. K. Howard}, Compos. Math. 146, No. 3, 795--810 (2010; Zbl 1192.22008) Full Text: DOI OpenURL
Kaiblinger, Norbert; Neuhauser, Markus Metaplectic operators for finite Abelian groups and \(\mathbb R^d\). (English) Zbl 1214.43012 Indag. Math., New Ser. 20, No. 2, 233-246 (2009). Reviewer: Krzysztof Stempak (Wrocław) MSC: 43A65 20K01 43A70 94A12 PDF BibTeX XML Cite \textit{N. Kaiblinger} and \textit{M. Neuhauser}, Indag. Math., New Ser. 20, No. 2, 233--246 (2009; Zbl 1214.43012) Full Text: DOI OpenURL
Cordero, Elena; De Mari, Filippo; Nowak, Krzysztof; Tabacco, Anita Analytic features of reproducing groups for the metaplectic representation. (English) Zbl 1096.42016 J. Fourier Anal. Appl. 12, No. 2, 157-180 (2006). MSC: 42C15 42C40 17B45 43A80 20G05 PDF BibTeX XML Cite \textit{E. Cordero} et al., J. Fourier Anal. Appl. 12, No. 2, 157--180 (2006; Zbl 1096.42016) Full Text: DOI OpenURL
Tveritinov, I. D. Several remarks on the representation of the infinite-dimensional symplectic group and on the construction of the metaplectic group. (English. Russian original) Zbl 1069.22010 Math. Notes 75, No. 6, 805-818 (2004); translation from Mat. Zametki 75, No. 6, 861-876 (2004). Reviewer: Chandra Shekhar Sharma (London) MSC: 22E65 47N50 47L99 81R10 PDF BibTeX XML Cite \textit{I. D. Tveritinov}, Math. Notes 75, No. 6, 805--818 (2004; Zbl 1069.22010); translation from Mat. Zametki 75, No. 6, 861--876 (2004) Full Text: DOI OpenURL
Deotto, E.; Gozzi, E.; Mauro, D. Hilbert space structure in classical mechanics. II. (English) Zbl 1063.70014 J. Math. Phys. 44, No. 12, 5937-5957 (2003). MSC: 70H05 47D06 47N99 70G65 81S05 PDF BibTeX XML Cite \textit{E. Deotto} et al., J. Math. Phys. 44, No. 12, 5937--5957 (2003; Zbl 1063.70014) Full Text: DOI arXiv OpenURL
Kisil, Vladimir V. Meeting Descartes and Klein somewhere in a noncommutative space. (English) Zbl 1144.43005 Fokas, A. (ed.) et al., Highlights of mathematical physics. In part papers from the 13th international congress, London, UK, July 17–22, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3223-9/hbk). 165-189 (2002). Reviewer: Jan Chrastina (Brno) MSC: 43A85 30G30 42C40 81R60 46H30 PDF BibTeX XML Cite \textit{V. V. Kisil}, in: Highlights of mathematical physics. In part papers from the 13th international congress, London, UK, July 17--22, 2000. Providence, RI: American Mathematical Society (AMS). 165--189 (2002; Zbl 1144.43005) Full Text: arXiv OpenURL
Howe, Roger; Zhu, Chen-Bo Eigendistributions for orthogonal groups and representations of symplectic groups. (English) Zbl 0987.43003 J. Reine Angew. Math. 545, 121-166 (2002). Reviewer: Gheorghe Zet (Iaşi) MSC: 43A80 22E50 PDF BibTeX XML Cite \textit{R. Howe} and \textit{C.-B. Zhu}, J. Reine Angew. Math. 545, 121--166 (2002; Zbl 0987.43003) Full Text: DOI OpenURL
Kadlčáková, Lenka Contact symplectic geometry in parabolic invariant theory and symplectic Dirac operator. (English) Zbl 1039.58017 Brackx, F. (ed.) et al., Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30–November 3, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7044-9/hbk; 0-7923-7045-7/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 25, 103-111 (2001). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J05 58J60 30G35 35A27 81R05 53C27 PDF BibTeX XML Cite \textit{L. Kadlčáková}, NATO Sci. Ser. II, Math. Phys. Chem. 25, 103--111 (2001; Zbl 1039.58017) OpenURL
de Gosson, Maurice A. The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). (English) Zbl 0991.70001 London: Imperial College Press (ISBN 1-86094-274-1/hbk; 978-1-84816-142-9/ebook). xxii, 357 p. (2001). Reviewer: N.D.Sengupta (Mumbai) MSC: 70-02 81-02 PDF BibTeX XML Cite \textit{M. A. de Gosson}, The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\). London: Imperial College Press (2001; Zbl 0991.70001) Full Text: Link OpenURL
Kataev, D. S. On some metaplectic Eisenstein series. (English. Russian original) Zbl 1004.11022 J. Math. Sci., New York 110, No. 6, 3091-3110 (2002); translation from Zap. Nauchn. Semin. POMI 263, 105-140 (2000). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F55 11F27 11F30 PDF BibTeX XML Cite \textit{D. S. Kataev}, J. Math. Sci., New York 110, No. 6, 1 (2000; Zbl 1004.11022); translation from Zap. Nauchn. Semin. POMI 263, 105--140 (2000) Full Text: DOI OpenURL
Binz, Ernst; Schempp, Walter Projective geometry and Kepler’s libration theory. (English) Zbl 0980.70006 Doebner, H.-D. (ed.) et al., Quantum theory and symmetries. Proceedings of the international symposium held in Goslar, Germany, July 18-22, 1999. Singapore: World Scientific. 572-576 (2000). MSC: 70F05 70G45 51P05 PDF BibTeX XML Cite \textit{E. Binz} and \textit{W. Schempp}, in: Quantum theory and symmetries. Proceedings of the international symposium held in Goslar, Germany, July 18--22, 1999. Singapore: World Scientific. 572--576 (2000; Zbl 0980.70006) OpenURL
Li, Jian-Shu Minimal representations and reductive dual pairs. (English) Zbl 0947.22009 Adams, Jeffrey (ed.) et al., Representation theory of Lie groups. Lecture notes from the Graduate summer school program, Park City, UT, USA, July 13-31, 1998. Providence, RI: American Mathematical Society (AMS). IAS/ Park City Math. Ser. 8, 291-340 (2000). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E50 22E47 PDF BibTeX XML Cite \textit{J.-S. Li}, in: Representation theory of Lie groups. Lecture notes from the Graduate summer school program, Park City, UT, USA, July 13--31, 1998. Providence, RI: American Mathematical Society (AMS). 291--340 (2000; Zbl 0947.22009) OpenURL
Ørsted, Bent; Zhang, Genkai \(L^2\)-versions of the Howe correspondence. I. (English) Zbl 0898.22007 Math. Scand. 80, No. 1, 125-160 (1997). Reviewer: Madathum K.Viswanath (Tambaram) MSC: 22E45 43A85 PDF BibTeX XML Cite \textit{B. Ørsted} and \textit{G. Zhang}, Math. Scand. 80, No. 1, 125--160 (1997; Zbl 0898.22007) Full Text: DOI EuDML OpenURL
Clerc, Jean-Louis Equivariant holomorphic maps into the Siegel disc and the metaplectic representation. (English) Zbl 0881.22012 J. Aust. Math. Soc., Ser. A 62, No. 2, 160-174 (1997). Reviewer: A.Klimyk (Kiev) MSC: 22E46 43A85 PDF BibTeX XML Cite \textit{J.-L. Clerc}, J. Aust. Math. Soc., Ser. A 62, No. 2, 160--174 (1997; Zbl 0881.22012) OpenURL
Olshanski, Grigori Cauchy-Szegö kernels for Hardy spaces on simple Lie groups. (English) Zbl 0860.43008 J. Lie Theory 5, No. 2, 241-273 (1995). Reviewer: J.Hilgert (Clausthal) MSC: 43A85 22E46 32A10 PDF BibTeX XML Cite \textit{G. Olshanski}, J. Lie Theory 5, No. 2, 241--273 (1995; Zbl 0860.43008) Full Text: EuDML OpenURL
Ottesen, Johnny T. Infinite dimensional groups and algebras in quantum physics. (English) Zbl 0848.22026 Lecture Notes in Physics. New Series m: Monographs. 27. Berlin: Springer-Verlag. ix, 218 p. (1995). Reviewer: A.N.Pressley (London) MSC: 22E67 22-02 17B68 81R10 81-02 17-02 17B67 PDF BibTeX XML Cite \textit{J. T. Ottesen}, Infinite dimensional groups and algebras in quantum physics. Berlin: Springer-Verlag (1995; Zbl 0848.22026) Full Text: DOI OpenURL
Brylinski, Ranee; Kostant, Bertram Differential operators on conical Lagrangian manifolds. (English) Zbl 0878.58033 Brylinski, Jean-Luc (ed.) et al., Lie theory and geometry: in honor of Bertram Kostant on the occasion of his 65th birthday. Invited papers, some originated at a symposium held at MIT, Cambridge, MA, USA in May 1993. Boston, MA: Birkhäuser. Prog. Math. 123, 65-96 (1994). Reviewer: A.Iozzi (College Park) MSC: 53D50 37J99 22E46 PDF BibTeX XML Cite \textit{R. Brylinski} and \textit{B. Kostant}, Prog. Math. 123, 65--96 (1994; Zbl 0878.58033) OpenURL
Lundberg, Lars-Erik Projective representations of infinite-dimensional orthogonal and symplectic groups. (English) Zbl 0828.22020 Rev. Math. Phys. 6, No. 1, 1-17 (1994). Reviewer: G.Loupias (Montpellier) MSC: 22E46 81R10 PDF BibTeX XML Cite \textit{L.-E. Lundberg}, Rev. Math. Phys. 6, No. 1, 1--17 (1994; Zbl 0828.22020) Full Text: DOI OpenURL
de Gosson, Maurice A. Demazure-Kashiwara cocycles and metaplectic geometry. (Cocycles de Demazure-Kashiwara et géométrie métaplectique.) (French) Zbl 0776.53022 J. Geom. Phys. 9, No. 3, 255-280 (1992). Reviewer: C.Günther (Libby) MSC: 53C15 37J99 PDF BibTeX XML Cite \textit{M. A. de Gosson}, J. Geom. Phys. 9, No. 3, 255--280 (1992; Zbl 0776.53022) Full Text: DOI OpenURL
Blasco, Laure Dual reductive pairs in characteristic 2. (Paires duales réductives en caractéristique 2.) (French) Zbl 0736.22012 C. R. Acad. Sci., Paris, Sér. I 313, No. 3, 127-130 (1991). Reviewer: A. Deitmar (Heidelberg) MSC: 22E50 20G25 11F27 PDF BibTeX XML Cite \textit{L. Blasco}, C. R. Acad. Sci., Paris, Sér. I 313, No. 3, 127--130 (1991; Zbl 0736.22012) OpenURL
Gelbart, Stephen S.; Rogawski, Jonathan D. Exceptional representations and Shimura’s integral for the local unitary group U(3). (English) Zbl 0732.22014 Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Pt. I: Papers in representation theory, Pap. Workshop L-Functions, Number Theory, Harmonic Anal., Tel-Aviv/Isr. 1989, Isr. Math. Conf. Proc. 2, 19-75 (1990). Reviewer: L.Corwin (Highland Park) MSC: 22E50 11F27 PDF BibTeX XML OpenURL
Schmidt, Martin U. Lowest weight representations of some infinite dimensional groups on Fock spaces. (English) Zbl 0729.22023 Acta Appl. Math. 18, No. 1, 59-84 (1990). Reviewer: T.S.Bhanu Murthy (Madras) MSC: 22E65 22E70 PDF BibTeX XML Cite \textit{M. U. Schmidt}, Acta Appl. Math. 18, No. 1, 59--84 (1990; Zbl 0729.22023) Full Text: DOI OpenURL
Vershik, A. M. Metagonal groups of finite and infinite dimension. (English) Zbl 0723.22022 Representation of Lie groups and related topics, Adv. Stud. Contemp. Math. 7, 1-37 (1990). Reviewer: A.Klimyk (Kiev) MSC: 22E65 17B67 22E60 17B65 PDF BibTeX XML OpenURL
Peetre, Jaak The Fock bundle. (English) Zbl 0721.46040 Analysis and partial differential equations, Coll. Pap. dedic. Mischa Cotlar, Lect. Notes Pure Appl. Math. 122, 301-326 (1990). Reviewer: R.Rochberg (St.Louis) MSC: 46M20 46E20 30C40 47B38 47F05 PDF BibTeX XML OpenURL
Hilgert, Joachim Applications of Lie semigroups in analysis. (English) Zbl 0714.22008 The analytical and topological theory of semigroups, Conf., Oberwolfach/Ger. 1989, De Gruyter Expo. Math. 1, 27-50 (1990). Reviewer: K.H.Hofmann MSC: 22E30 22E60 22A20 22-02 43A80 47B38 47D03 PDF BibTeX XML OpenURL
Przebinda, Tomasz On Howe’s duality theorem. (English) Zbl 0678.22007 J. Funct. Anal. 81, No. 1, 160-183 (1988). Reviewer: T.Kawazoe MSC: 22E45 22E30 43A65 12D15 PDF BibTeX XML Cite \textit{T. Przebinda}, J. Funct. Anal. 81, No. 1, 160--183 (1988; Zbl 0678.22007) Full Text: DOI OpenURL
Aubert, Anne-Marie Correspondance de Howe et sous-groupes parahoriques. (Howe’s correspondence and parahoric subgroups). (French) Zbl 0644.22006 J. Reine Angew. Math. 392, 176-186 (1988). Reviewer: A.-M.Aubert MSC: 22E50 22E40 PDF BibTeX XML Cite \textit{A.-M. Aubert}, J. Reine Angew. Math. 392, 176--186 (1988; Zbl 0644.22006) Full Text: DOI Crelle EuDML OpenURL
Ouzilou, R. Metaplectic representation. (Représentation métaplectique.) (French) Zbl 0797.22006 Publications du Département de Mathématiques. Nouvelle Série. Université Claude Bernard, Lyon. C, 88-2. Lyon: Université Claude- Bernard, Département de Mathématiques, viii, 77 p. (1988). Reviewer: W. Lisiecki (M.R. 92j:22029) MSC: 22E45 11F70 11F27 22-02 53D50 PDF BibTeX XML Cite \textit{R. Ouzilou}, Représentation métaplectique. Lyon: Université Claude-Bernard, Département de Mathématiques (1988; Zbl 0797.22006) Full Text: EuDML OpenURL
Moen, Courtney The dual pair (U(3),U(1)) over a p-adic field. (English) Zbl 0675.22008 Pac. J. Math. 127, No. 1, 141-154 (1987). Reviewer: S.Gelbart MSC: 22E50 11S80 PDF BibTeX XML Cite \textit{C. Moen}, Pac. J. Math. 127, No. 1, 141--154 (1987; Zbl 0675.22008) Full Text: DOI OpenURL
Moeglin, Colette; Vignéras, Marie-France; Waldspurger, Jean-Loup Howe correspondences on a \(p\)-adic field. (Correspondances de Howe sur un corps \(p\)-adique.) (French) Zbl 0642.22002 Lecture Notes in Mathematics, 1291. Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn, Vol. 11. Berlin etc.: Springer-Verlag. VII, 163 p.; DM 28.50 (1987). Reviewer: Stephen Gelbart (Rehovot) MSC: 22E50 11S40 22-02 11F70 11-02 11F33 PDF BibTeX XML Full Text: DOI OpenURL
Corbett, J. V. Holomorphic representations of SL(2,\({\mathbb{R}})\) and quantum scattering theory. (English) Zbl 0641.22007 Operator theory and partial differential equations, Miniconf. Ryde/Aust. 1986, Proc. Cent. Math. Anal. Aust. Natl. Univ. 14, 128-141 (1986). Reviewer: W.Schempp MSC: 22E70 81T60 35L05 81Q05 PDF BibTeX XML OpenURL
Castaños, Octavio; López-Moreno, Enrique; Wolf, Kurt Bernardo Canonical transforms for paraxial wave optics. (English) Zbl 0616.43007 Lie methods in optics, Proc. CIFMO-CIO Workshop, León/Méx. 1985, Lect. Notes Phys. 250, 159-182 (1986). Reviewer: W.Schempp MSC: 43A32 43A80 78A05 43A65 58J20 PDF BibTeX XML OpenURL
Wolf, K. B. (ed.); Mondragón, J. Sanchez (ed.) Lie methods in optics. Appendix A: The symplectic groups, their parametrization and cover. (English) Zbl 0616.22012 Lie methods in optics, Proc. CIFMO-CIO Workshop, León/Méx. 1985, Lect. Notes Phys. 250, 227-238 (1986). Reviewer: W.Schempp MSC: 22E70 22E47 78A05 PDF BibTeX XML OpenURL
Taylor, Michael E. Noncommutative harmonic analysis. (English) Zbl 0604.43001 Mathematical Surveys and Monographs, 22. Providence, RI: American Mathematical Society (AMS). XVI, 328 p. $ 68.00 (1986). Reviewer: W.Schempp MSC: 43-02 43A65 43A90 22E25 22D30 22E30 PDF BibTeX XML OpenURL
Schempp, Walter Analog radar signal design and digital signal processing - a Heisenberg nilpotent Lie group approach. (English) Zbl 0594.43001 Lie methods in optics, Proc. CIFMO-CIO Workshop, León/Méx. 1985, Lect. Notes Phys. 250, 1-27 (1986). MSC: 43A99 78A05 94A11 43A35 78A40 22E25 78A60 43A90 14K25 33C45 42C05 PDF BibTeX XML OpenURL
Brunet, M. The metaplectic semigroup and related topics. (English) Zbl 0609.22015 Rep. Math. Phys. 22, 149-170 (1985). Reviewer: P.Kramer MSC: 22E70 22A20 81S05 81R10 20C25 PDF BibTeX XML Cite \textit{M. Brunet}, Rep. Math. Phys. 22, 149--170 (1985; Zbl 0609.22015) Full Text: DOI OpenURL
Schempp, Walter Time delay and Doppler frequency shift in radar/sonar detection, with application to Fourier optics. (English) Zbl 0594.94001 Delay equations, approximation and application, Int. Symp. Mannheim/Ger. 1984, ISNM 74, 234-263 (1985). Reviewer: W. Schempp MSC: 94A13 43A80 43A65 94A12 78A02 22E25 42C05 33C45 22E27 PDF BibTeX XML OpenURL
Magneron, Bernard Spineurs symplectiques purs et indice de Maslov de plans lagrangiens positifs. (French) Zbl 0548.57024 J. Funct. Anal. 59, 90-122 (1984). MSC: 57S25 53C27 22E27 37J99 57R20 81R10 PDF BibTeX XML Cite \textit{B. Magneron}, J. Funct. Anal. 59, 90--122 (1984; Zbl 0548.57024) Full Text: DOI OpenURL
Daubechies, Ingrid Coherent states and projective representation of the linear canonical transformations. (English) Zbl 0453.22012 J. Math. Phys. 21, 1377-1389 (1980). MSC: 22E70 81R10 PDF BibTeX XML Cite \textit{I. Daubechies}, J. Math. Phys. 21, 1377--1389 (1980; Zbl 0453.22012) Full Text: DOI Link OpenURL
Lion, Gérard; Vergne, Michèle The Weil representation, Maslov index and theta series. (English) Zbl 0444.22005 Progress in Mathematics, 6. Boston - Basel - Stuttgart: Birkhäuser. viii, 337 p. SFr. 30.00 (1980). Reviewer: Lawrence J. Corwin MSC: 22E45 22-02 53D12 11F27 11F37 11F46 22E40 11F32 PDF BibTeX XML Full Text: Link OpenURL
Chacon, E.; Moshinsky, M.; Winternitz, P. Irreducible decomposition of direct products of q arbitrary representations of the symplectic group Sp(2n) and its relation with the orthogonal group O(q). (English) Zbl 0496.22016 Kinam 1, 259-293 (1979). MSC: 22E45 22E46 22C05 PDF BibTeX XML Cite \textit{E. Chacon} et al., Kinam 1, 259--293 (1979; Zbl 0496.22016) OpenURL