Holomorphic Sobolev spaces associated to compact symmetric spaces

DOI10.1016/j.jfa.2007.07.009zbMath1130.22004arXivmath/0612012OpenAlexW2147628361MaRDI QIDQ2461220

Sundaram Thangavelu

Publication date: 27 November 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612012

zbMATH Keywords

Sobolev spacessymmetric spacesBergman spacesSegal-Bargmann transformGutzmer's formula

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (10)

Images of some subspaces of \(L^2(\mathbb{R}^m)\) under Grushin and Hermite semigroup ⋮ Segal–Bargmann transforms and holomorphic Sobolev spaces of fractional order ⋮ Linear combinations of composition operators on the Fock-Sobolev spaces ⋮ Fock-Sobolev spaces of fractional order ⋮ Fock-Sobolev spaces and their Carleson measures ⋮ Toeplitz operators with special symbols on Segal-Bargmann spaces ⋮ Berezin-Toeplitz quantization on Lie groups ⋮ Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform ⋮ A Paley–Wiener theorem for some eigenfunction expansions ⋮ On the images of Sobolev spaces under the heat kernel transform on the Heisenberg group

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