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A new proof of a Paley—Wiener type theorem for the Jacobi transform

✍ Scribed by Tom Koornwinder

Book ID
112741707
Publisher
Springer Netherlands
Year
1975
Tongue
English
Weight
660 KB
Volume
13
Category
Article
ISSN
0004-2080

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✍ Vu Kim Tuan; Ahmed I. Zayed 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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