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Generalized theorems for summation of cylindrical functions

โœ Scribed by G. A. Wang Fo Fy

Publisher
Springer US
Year
1970
Tongue
English
Weight
266 KB
Volume
6
Category
Article
ISSN
1573-8582

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๐Ÿ“œ SIMILAR VOLUMES

Paley-Wiener Type Theorems for Colombeau
Paley-Wiener Type Theorems for Colombeauโ€ฒs Generalized Functions
โœ M. Nedeljkov; S. Pilipovic ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 460 KB

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