A local Peter-Weyl theorem

DOI10.1090/S0002-9947-99-02183-2zbMath0933.22017OpenAlexW1931429881MaRDI QIDQ4700135

Leonard Gross

Publication date: 1 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02183-2

zbMATH Keywords

Green's functionLaplace-Beltrami operatorFock spacecompact groupBargmann spacePeter-Weyl theoremcomplex Lie groupBargmann transform

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Compact groups (22C05)

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HIDA DISTRIBUTIONS ON COMPACT LIE GROUPS ⋮ Harmonic analysis with respect to heat kernel measure ⋮ The Segal-Bargmann transform for path-groups ⋮ Surjectivity of the Taylor map for complex nilpotent Lie groups ⋮ A Paley–Wiener theorem for some eigenfunction expansions

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