A weighted Plancherel formula II. The case of the ball

DOI10.4064/sm-102-2-103-120zbMath0811.43003OpenAlexW315456531MaRDI QIDQ4320031

Genkai Zhang

Publication date: 18 April 1995

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/215917

zbMATH Keywords

Hilbert spaceirreducible decompositionunit ballactionsCauchy-Riemann operatorsholomorphic tensor fieldsgeneralized Harish- Chandra \(c\)-function

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Harmonic analysis and spherical functions (43A90) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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