On the Fourier transform of Schwartz functions on Riemannian Symmetric Spaces
Abstract
Consider the (Helgason-) Fourier transform on a Riemannian symmetric space G/K. We give a simple proof of the Lp-Schwartz space isomorphism theorem (0 <p 2) for K-finite functions. The proof is a generalization of J.-Ph. Anker's proof for K-invariant functions.
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