A theorem of Paley-Wiener type for ultradistributions
โ Scribed by I. Kh. Musin; P. V. Fedotova
- Book ID
- 110149543
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2009
- Tongue
- English
- Weight
- 744 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A characterization of weighted L 2 I spaces in terms of their images under various integral transformations is derived, where I is an interval (finite or infinite). This characterization is then used to derive Paley-Wiener-type theorems for these spaces. Unlike the classical Paley-Wiener theorem, ou
We define the Laplace transformation for elements of Colombeau's spaces \(\mathscr{\varphi}_{c}\left(\mathbf{R}^{n}\right), \mathscr{G}_{c}^{x}\left(\mathbf{R}^{n}\right)\) and \(\mathscr{G}_{1}(\Gamma)\), where \(\Gamma\) is a cone. We obtain, in Theorems 1,2 , and 4 , the "expected" Paley-Wiener t
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.