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arXiv · 1206.3376

On the Fourier transform of Schwartz functions on Riemannian Symmetric Spaces

Nils Byrial Andersen
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Abstract

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

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Nils Byrial Andersen. 2012-06-15. On the Fourier transform of Schwartz functions on Riemannian Symmetric Spaces. https://arxiv.org/abs/1206.3376

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