[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2014.54.1.43

Fourier Cosine and Sine Transformable Boehmians

Ganesan, Chinnaraman (Department of Mathematics, V. H. N. S. N. College)
Roopkumar, Rajakumar (Department of Mathematics, Alagappa University)

Publication Information

Kyungpook Mathematical Journal / v.54, no.1, 2014 , pp. 43-63 More about this Journal

Abstract

The range spaces of Fourier cosine and sine transforms on $L^1$ ([0, ${\infty}$ )) are characterized. Using Fourier cosine and sine type convolutions, Fourier cosine and sine transformable Boehmian spaces have been constructed, which properly contain $L^1$ ([0, ${\infty}$ )). The Fourier cosine and sine transforms are extended to these Boehmian spaces consistently and their properties are established.

Keywords

Fourier cosine and sine transforms; convolution; Boehmians;

Citations & Related Records

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