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
An isomorphism of Paley-Wiener type
✍ Scribed by Michael Niggemann
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 578 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0022-247X
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