Eigenfunctions of the Cosine and Sine Transforms

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2013
• ISSN: 1812-9471
• Main Author: Katsnelson, V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106768
• 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.

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...