Analyticity of the generalized two-dimensional fractional cosine transform
Abstract
Fourier transform can be generalized into the fractional Fourier transform (FRFT), Linear Canonical Transform (LCT) and simplified fractional Fourier transform (SFRFT). They extend the utilities of original Fourier transform, and can solve many problems that can't solved well by original Fourier transform.
In this paper, we study distributional generalized two-dimensional fractional Cosine transform. Testing function space and distributional two-dimensional fractional Cosine transform is defined. Analyticity of the generalized two-dimensional fractional Cosine transform is proved.
Copyright © 2012 V. D. Sharma, S. A. Khapre. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
V. D. S. S. A. Khapre, Analyticity of the generalized two-dimensional fractional cosine transform, J. Math. Comput. Sci. 2 (2012), 1312–1318.
BibTeX
@article{Khapre2012,
author = {S. A. Khapre, V. D. Sharma,},
title = {Analyticity of the generalized two-dimensional fractional cosine transform},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1312--1318},
doi = {}
}