Harmonic Analysis on semisimple symmetric spaces. A survey of some general results.
Publication date
1997-01-01
Authors
Ban, E.P. van den
Flensted-Jensen, M.
Schlichtkrull, H.
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Document Type
Article
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Abstract
We give a survey of the status of some of the fundamental problems in harmonic analysis on semisimple symmetric spaces, including the description of the discrete series, the denition of the Fourier transform, the inversion formula, the Plancherel formula and the Paley{ Wiener theorem.
Keywords
Harmonic analysis, Symmetric space, Fourier transform, Discrete series, Plancherel formula, Paley-Wiener theorem