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http://dx.doi.org/10.4134/CKMS.c150244

CONVOLUTION THEOREMS FOR FRACTIONAL FOURIER COSINE AND SINE TRANSFORMS AND THEIR EXTENSIONS TO BOEHMIANS  

Ganesan, Chinnaraman (Department of Mathematics V.H.N.S.N. College (Autonomous))
Roopkumar, Rajakumar (Department of Mathematics Central University of Tamil Nadu)
Publication Information
Communications of the Korean Mathematical Society / v.31, no.4, 2016 , pp. 791-809 More about this Journal
Abstract
By introducing two fractional convolutions, we obtain the convolution theorems for fractional Fourier cosine and sine transforms. Applying these convolutions, we construct two Boehmian spaces and then we extend the fractional Fourier cosine and sine transforms from these Boehmian spaces into another Boehmian space with desired properties.
Keywords
convolution; fractional Fourier cosine and sine transforms; Boehmians;
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Times Cited By KSCI : 1  (Citation Analysis)
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