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Paley-Wiener type theorems for functions analytic in tube domains

✍ Scribed by I. Kh. Musin

Publisher
SP MAIK Nauka/Interperiodica
Year
1993
Tongue
English
Weight
287 KB
Volume
53
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES

Paley-Wiener Type Theorems for Colombeau
Paley-Wiener Type Theorems for Colombeau′s Generalized Functions
✍ M. Nedeljkov; S. Pilipovic 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 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