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.
✦ LIBER ✦
Revisiting Landauʼs density theorems for Paley–Wiener spaces
✍ Scribed by Shahaf Nitzan; Alexander Olevskii
- Book ID
- 116390038
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 135 KB
- Volume
- 350
- Category
- Article
- ISSN
- 1631-073X
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