On the Fourier transform of Schwartz functions on Riemannian Symmetric Spaces

2012/06/15 by Nils Byrial Andersen, Andersen, Nils Byrial
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #FOS: Mathematics #Mathematical Analysis and Transform Methods #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1206.3376

openalex publication_date 2012/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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