One criterion of unitarity of bilateral integral transformation

A criterion for a two-sided Watson transform to be unitary in the space L2 (R) is considered. It enables us to construct new examples of integral transforms with symmetric inversion formulas (only the Fourier and the Hartley transforms are known). We give some new examples of the indicated transform...

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Bibliographic Details
Date:1992
Main Authors: Vu Kim Tuan, Yakubovich , S. B., By Ким Туан, Якубович , С. Б.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7967
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal