A Paley–Wiener theorem for some eigenfunction expansions

DOI10.1515/APAM.2010.042zbMath1237.47037OpenAlexW2076278204MaRDI QIDQ3093140

Sundaram Thangavelu

Publication date: 12 October 2011

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam.2010.042

zbMATH Keywords

symmetric spacesHeisenberg groupsSegal-Bargmann transformHermite and Laguerre functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Analysis on real and complex Lie groups (22E30)

Cites Work

• Unnamed Item
• Gutzmer's formula and Poisson integrals on the Heisenberg group
• Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform
• Hardy space of a generalized Reinhardt domain.
• The Segal-Bargmann transform on a symmetric space of compact type
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• A Paley-Wiener theorem for the inverse spherical transform
• Holomorphic Sobolev spaces associated to compact symmetric spaces
• The heat kernel transform for the Heisenberg group
• On a Hilbert space of analytic functions and an associated integral transform part I
• A local Peter-Weyl theorem
• An analogue of Gutzmer's formula for Hermite expansions

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