Spherical functions on a family of quantum 3-spheres
Masatoshi Noumi, Katsuhisa Mimachi (1992)
Compositio Mathematica
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Masatoshi Noumi, Katsuhisa Mimachi (1992)
Compositio Mathematica
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Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Joachim Hilgert (1989)
Annales de l'institut Fourier
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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
Shen-Chi Tang (1965)
Collectanea Mathematica
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Tsai, Chester E. (1967)
Portugaliae mathematica
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Filippo De Mari, Krzysztof Nowak (2002)
Bollettino dell'Unione Matematica Italiana
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We classify, up to conjugation, all subgroups of the semidirect products and . Our methods can also be applied to all Lie groups that are locally isomorphic to them.
(1993)
Compositio Mathematica
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