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Non-oscillating Paley-Wiener functions

โœ Scribed by I. V. Ostrovskii; A. Ulanovskii

Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
785 KB
Volume
92
Category
Article
ISSN
0021-7670

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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