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July 2007 A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces
S. Thangavelu
Hiroshima Math. J. 37(2): 145-159 (July 2007). DOI: 10.32917/hmj/1187916316

Abstract

We formulate and prove a version of Paley-Wiener theorem for the inverse Fourier transforms on noncompact Riemannian symmetric spaces and Heisenberg groups. The main ingredient in the proof is the Gutzmer’s formula.

Citation

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S. Thangavelu. "A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces." Hiroshima Math. J. 37 (2) 145 - 159, July 2007. https://doi.org/10.32917/hmj/1187916316

Information

Published: July 2007
First available in Project Euclid: 24 August 2007

zbMATH: 1143.22008
MathSciNet: MR2345365
Digital Object Identifier: 10.32917/hmj/1187916316

Subjects:
Primary: 22E30
Secondary: 22E45 , 43A90

Keywords: Fourier transform , Gutzmer’s formula , Heisenberg group , Paley-Wiener theorems , symmetric spaces

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

Vol.37 • No. 2 • July 2007
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