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Zbl 0502.10013
Shimura, Goro
Confluent hypergeometric functions on tube domains.
(English)
[J] Math. Ann. 260, 269-302 (1982). ISSN 0025-5831; ISSN 1432-1807/e

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MSC 2000:
*11F27 Theta series; Weil representation
22E45 Analytic repres.of Lie and linear algebraic groups over real fields
33C05 Classical hypergeometric functions
32N99 Automorphic functions (several complex variables)

Keywords: analytic continuation; generalized confluent hypergeometric functions; Whittaker functions; Fourier expansion; applications to Eisenstein series for arithmetic groups; tube domains

Citations: Zbl 0050.045; Zbl 0412.10020

Cited in: Zbl 0978.33009 Zbl 0780.11023 Zbl 0687.10017 Zbl 0591.10017 Zbl 0559.33002 Zbl 0519.10019

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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