Some characterization of the Schwartz space and an analogue of the Paley-Wiener type theorem on rank $1$ semisimple Lie groups

Takeshi Kawazoe

doi:10.3792/pjaa.55.205

Some characterization of the Schwartz space and an analogue of the Paley-Wiener type theorem on rank $1$ semisimple Lie groups

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.55.205 ◽

1979 ◽

Vol 55 (6) ◽

pp. 205-208

Author(s):

Takeshi Kawazoe

Keyword(s):

Lie Groups ◽

Type Theorem ◽

Schwartz Space ◽

Semisimple Lie Groups ◽

Wiener Type

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Paley-Wiener-type theorem for nilpotent Lie groups

Ukrainian Mathematical Journal ◽

10.1007/bf02524486 ◽

1998 ◽

Vol 50 (11) ◽

pp. 1786-1788 ◽

Cited By ~ 1

Author(s):

V. V. Kisil’

Keyword(s):

Lie Groups ◽

Type Theorem ◽

Nilpotent Lie Groups ◽

Wiener Type

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A characterization of bi-invariant Schwartz space multipliers on nilpotent Lie groups

Studia Mathematica ◽

10.4064/sm-92-2-101-129 ◽

1989 ◽

Vol 92 (2) ◽

pp. 101-129 ◽

Cited By ~ 1

Author(s):

Joe Jenkins

Keyword(s):

Lie Groups ◽

Schwartz Space ◽

Nilpotent Lie Groups

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Multiplicity One Theorems for Generalized Gelfand–Graev Representations of Semisimple Lie Groups and Whittaker Models for the Discrete Series

Representations of Lie Groups, Kyoto, Hiroshima, 1986 ◽

10.2969/aspm/01410031 ◽

2018 ◽

Cited By ~ 2

Author(s):

Hiroshi Yamashita

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Semisimple Lie Groups ◽

Multiplicity One ◽

Whittaker Models

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Harmonic morphisms from the classical compact semisimple Lie groups

Annals of Global Analysis and Geometry ◽

10.1007/s10455-007-9090-8 ◽

2007 ◽

Vol 33 (4) ◽

pp. 343-356 ◽

Cited By ~ 6

Author(s):

Sigmundur Gudmundsson ◽

Anna Sakovich

Keyword(s):

Lie Groups ◽

Harmonic Morphisms ◽

Semisimple Lie Groups

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Representations of complex semisimple Lie groups and Lie algebras

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1966-11528-8 ◽

1966 ◽

Vol 72 (3) ◽

pp. 522-526 ◽

Cited By ~ 3

Author(s):

K. R. Parthasarathy ◽

R. Ranga Rao ◽

V. S. Varadarajan

Keyword(s):

Lie Groups ◽

Lie Algebras ◽

Semisimple Lie Groups ◽

Complex Semisimple

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Canonical construction of differential operators intertwining representations of real semisimple Lie groups

Reports on Mathematical Physics ◽

10.1016/0034-4877(88)90050-x ◽

1988 ◽

Vol 25 (2) ◽

pp. 159-181 ◽

Cited By ~ 71

Author(s):

V.K. Dobrev

Keyword(s):

Lie Groups ◽

Differential Operators ◽

Semisimple Lie Groups

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A geometric construction of the discrete series for semisimple Lie groups

Inventiones mathematicae ◽

10.1007/bf01408936 ◽

1979 ◽

Vol 54 (2) ◽

pp. 189-192 ◽

Cited By ~ 3

Author(s):

Michael Atiyah ◽

Wilfried Schmid

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Geometric Construction ◽

Semisimple Lie Groups

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DISCRETE SUBGROUPS OF REAL SEMISIMPLE LIE GROUPS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1969v009n04abeh001293 ◽

1969 ◽

Vol 9 (4) ◽

pp. 555-568 ◽

Cited By ~ 1

Author(s):

G A Margulis

Keyword(s):

Lie Groups ◽

Semisimple Lie Groups ◽

Discrete Subgroups

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Holomorphic Discrete Models of Semisimple Lie Groups and their Symplectic Constructions

Journal of Functional Analysis ◽

10.1006/jfan.2000.3586 ◽

2000 ◽

Vol 175 (1) ◽

pp. 17-51 ◽

Cited By ~ 3

Author(s):

Meng-Kiat Chuah

Keyword(s):

Lie Groups ◽

Discrete Models ◽

Semisimple Lie Groups

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Plancherel Formula for Complex Semisimple Lie Groups

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.37.12.813 ◽

1951 ◽

Vol 37 (12) ◽

pp. 813-818 ◽

Cited By ~ 14

Author(s):

Harish-Chandra

Keyword(s):

Lie Groups ◽

Plancherel Formula ◽

Semisimple Lie Groups ◽

Complex Semisimple

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