Eigenfunctions of the Cosine and Sine Transforms

A description of the eigensubspaces of the cosine and sine operators is given. The spectrum of each of these two operators consists of two eigen- values 1, -1 and their eigensubspaces are infinite{dimensional. There are many possible bases for these subspaces, but most popular are the ones construct...

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Bibliographic Details
Date:2013
Main Author: Katsnelson, V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106768
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Eigenfunctions of the Cosine and Sine Transforms / V. Katsnelson // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 4. — С. 476-495. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine