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
On real Paley–Wiener theorems for certain integral transforms
✍ Scribed by Nils Byrial Andersen
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 208 KB
- Volume
- 288
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
We prove real Paley-Wiener theorems for the (inverse) Jacobi transform, characterising the space of L 2 -functions whose image under the Jacobi transform are (smooth) functions with compact support.
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