PaleyβWiener Theorems for Hyperbolic Spa
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Nils Byrial Andersen
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Article
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2001
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Elsevier Science
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English
β 367 KB
We prove a topological Paley Wiener theorem for the Fourier transform defined on the real hyperbolic spaces SO o ( p, q)ΓSO 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.