Paley-Wiener-type theorems for a class of integral transforms

    Authors

    V. K. Tuan;A. I. Zayed

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    Paley-Wiener theorem; singular Sturm-Liouville problems; Fourier; transform; Hankel transform; Weber transform; Jacobi transform; Kontorovich-Lebedev transform; RANGE; Mathematics, Applied; Mathematics

    Abstract

    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, 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.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    266

    Issue/Number

    1

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    200

    Last Page

    226

    WOS Identifier

    WOS:000173452800012

    ISSN

    0022-247X

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