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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2010, Volume : 29e, Issue : 1
First page : ( 101) Last page : ( 110)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.

Some aspect of canonical cosine transform of generalized function

Chavhan S.B.1,*, Borkar V.C.1, Gudadhe A.S.2

1Department of Mathematics & Statistics, Yeshwant Mahavidyalaya, Nanded-431605 (India)

2Government Vidarbha Institute of Science and Humanities, Amaravati (M.S.), (India)

*E-mail: chavhan_satish49@yahoo.in.

Online published on 22 February, 2013.

Abstract

This paper studies different testing function spaces of canonical cosine transform. Analyticity theorem is also proved. Some operational transform formulae have been obtained and applications of canonical cosine transforms are discussed.

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Keywords

Generalized function, Fourier transform, canonical transform, testing functions, spaces.

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