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Rossi, Hugo; Vergne, Michele

Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group. (English) Zbl 0279.32019

J. Funct. Anal. 13, 324-389 (1973).
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Cited in 4 Reviews
Cited in 51 Documents

MSC:

32M10 Homogeneous complex manifolds
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010)
22E25 Nilpotent and solvable Lie groups
43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
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References:

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