Holomorphic functions of moderate growth and distribution vectors

DOI10.1007/s00209-004-0669-5zbMath1057.22017OpenAlexW184483300MaRDI QIDQ706105

Houcine Chébli, Jacques Faraut

Publication date: 1 February 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0669-5

zbMATH Keywords

Hankel transformationLaplace transformationCayley transformationbounded symmetrical domaindistribution vectorsholomorphic functions of moderate growthisomorphism of the Schwartz spacemoderate growth by Wallachmultivariate Laguerre series expansionsoperator of Laguerre

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (8)

A formula for polynomials with Hermitian matrix argument ⋮ Uncertainty principles and differential operators on the weighted Bergman space ⋮ The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula ⋮ Coorbits for projective representations with an application to Bergman spaces ⋮ Coorbit spaces for dual pairs ⋮ New atomic decompositions of Bergman spaces on bounded symmetric domains ⋮ Examples of coorbit spaces for dual pairs ⋮ Norm estimates for unitarizable highest weight modules

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• Smooth vectors for highest weight representations
• Inequalities for Poisson Kernels on Symmetric Spaces

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