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Paley–Wiener Theorems for Hyperbolic Spaces

✍ Scribed by Nils Byrial Andersen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
367 KB
Volume
179
Category
Article
ISSN
0022-1236

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✦ Synopsis

We prove a topological Paley Wiener theorem for the Fourier transform defined on the real hyperbolic spaces SO o ( p, q)ÂSO o ( p&1, q), for p, q # 2N, without restriction to K-types. We also obtain Paley Wiener type theorems for L _ -Schwartz functions (0<_ 2) for fixed K-types.

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