Paley-Wiener theorems for the Θ-spherical transform: An overview

Document Type

Conference Proceeding

Publication Date

3-1-2004

Abstract

Several generalizations of the spherical Fourier transform on Riemannian symmetric spaces have emerged in the last decades. All these integral transforms can be viewed as special instances of the Θ-spherical Fourier transform. One of the main questions related to any integral transform is the description of the image of classical function spaces. In this article we discuss several examples of Paley-Wiener type theorems, leading up to and motivating the Paley-Wiener theorem for the Θ-spherical transform.

Publication Source (Journal or Book title)

Acta Applicandae Mathematicae

First Page

275

Last Page

309

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