The Paley-Wiener theorem with general weights
β Scribed by T.G Genchev; H.P Heinig
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 387 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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
We prove the Paley-Wiener Theorem in the Clifford algebra setting. As an application we derive the corresponding result for conjugate harmonic functions.