A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces

Thangavelu, S. (2006) A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces Hiroshima Mathematical Journal, 37 (2). pp. 145-160. ISSN 0018-2079

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Abstract

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

Item Type:Article
Source:Copyright of this article belongs to Project Euclid.
Keywords:Symmetric Spaces; Fourier Transform; Heisenberg Group; Gutzmer's Formula; Paley-wiener Theorems
ID Code:64403
Deposited On:10 Oct 2011 06:02
Last Modified:18 May 2016 12:50

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