The discrete Paley-Wiener theorem
โ Scribed by Dale H Mugler
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 362 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove a topological Paley Wiener theorem for the Fourier transform defined on the real hyperbolic spaces SO o ( p, q)รSO 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.
E. Damek, A. Hulanicki, and R. Penney (J. Funct. Anal., in press) studied a canonical system of differential equations (the Hua system) denoted HJK which is definable on any Ka hlerian manifold M. Functions annihilated by this system are called ``Hua-harmonic.'' In the case where M is a bounded homo
Analogue results of the classical Paley Wiener theorems that characterize classes of functions with compact support in terms of their Fourier transform are given for some subspaces of square integrable functions over a white noise space. 2000