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Commun. Korean Math. Soc. 2016; 31(4): 791-809
Online first article October 7, 2016 Printed October 31, 2016
https://doi.org/10.4134/CKMS.c150244
Copyright © The Korean Mathematical Society.
Convolution theorems for fractional Fourier cosine and sine transforms and their extensions to Boehmians
Chinnaraman Ganesan and Rajakumar Roopkumar
V.H.N.S.N. College (Autonomous), Central University of Tamil Nadu
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
MSC numbers: Primary 44A35, 44A15
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