Title

Paley-Wiener-Type Theorems For A Class Of Integral Transforms

Keywords

Fourier transform; Hankel transform; Jacobi transfom; Kontorovich-Lebedev transform; Paley-Wiener theorem; Singular Sturm-Liouville problems; Weber transform

Abstract

A characterization of weighted L2(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, our theorems use real variable techniques and do not require analytic continuation to the complex plane. The class of integral transformations considered is related to singular Sturm-Liouville boundary-value problems on a half line and on the whole line. ©c 2002 Elsevier Science.

Publication Date

2-1-2002

Publication Title

Journal of Mathematical Analysis and Applications

Volume

266

Issue

1

Number of Pages

200-226

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jmaa.2001.7740

Socpus ID

0036469230 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0036469230

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