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Fourier sine and cosine transforms on Boehmian spaces

Publication Type : Journal Article

Publisher : Asian-European Journal of Mathematics

Source : Asian-European Journal of Mathematics, Volume 6, Number 1 (2013)

Url :

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Verified : Yes

Year : 2013

Abstract : We construct suitable Boehmian spaces which are properly larger than ℒ(ℝ+) and we extend the Fourier sine transform and the Fourier cosine transform more than one way. We prove that the extended Fourier sine and cosine transforms have expected properties like linear, continuous, one-to-one and onto from one Boehmian space onto another Boehmian space. We also establish that the well known connection among the Fourier transform, Fourier sine transform and Fourier cosine transform in the context of Boehmians. Finally, we compare the relations among the different Boehmian spaces discussed in this paper. © 2013 World Scientific Publishing Company.

Cite this Research Publication : Ra Roopkumar, Negrin, E. Rb, Ganesan, Cc, and Srivastava, H. Md, “Fourier sine and cosine transforms on Boehmian spaces”, Asian-European Journal of Mathematics, vol. 6, 2013.

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