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Abelian and Tauberian theorems for a class of integral transforms

✍ Scribed by Wolfram Luther


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
788 KB
Volume
96
Category
Article
ISSN
0022-247X

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Paley–Wiener-Type Theorems for a Class o
✍ Vu Kim Tuan; Ahmed I. Zayed πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 176 KB

A characterization of weighted L 2 I spaces in terms of their images under various integral transformations is derived, where I is an interval (finite or infinite). This characterization is then used to derive Paley-Wiener-type theorems for these spaces. Unlike the classical Paley-Wiener theorem, ou