Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces

Details Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces

2009-05-19

arxiv.org/abs/0905.3018v1

Mathematics

Functional Analysis

Scientific paper

We prove a Wiener-Tauberian theorem for $L^1$-spherical functions on a
semisimple Lie group of arbitrary real rank. We also establish a Schwartz
theorem for complex groups. As a corollary we obtain a Wiener-Tauberian type
theorem for for compactly supported distributions.

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