Research Article
Discrete Wavelets Associated with DUNKL Operator on Real Line
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 134 - Issue 1 |
| Published: January 2016 |
| Authors: C. P. Pandey, Rakesh Mohan, Bhairaw Nath Tripathi |
10.5120/ijca2016907754
|
C. P. Pandey, Rakesh Mohan, Bhairaw Nath Tripathi . Discrete Wavelets Associated with DUNKL Operator on Real Line. International Journal of Computer Applications. 134, 1 (January 2016), 17-21. DOI=10.5120/ijca2016907754
@article{ 10.5120/ijca2016907754,
author = { C. P. Pandey,Rakesh Mohan,Bhairaw Nath Tripathi },
title = { Discrete Wavelets Associated with DUNKL Operator on Real Line },
journal = { International Journal of Computer Applications },
year = { 2016 },
volume = { 134 },
number = { 1 },
pages = { 17-21 },
doi = { 10.5120/ijca2016907754 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2016
%A C. P. Pandey
%A Rakesh Mohan
%A Bhairaw Nath Tripathi
%T Discrete Wavelets Associated with DUNKL Operator on Real Line%T
%J International Journal of Computer Applications
%V 134
%N 1
%P 17-21
%R 10.5120/ijca2016907754
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Using convolution theory of the dunkl transform, discrete dunkl wavelet transform is defined. A reconstruction formula for the discrete dunkl wavelet is obtained. Important properties of the discrete dunkl wavelet are presented. Frames and Riesz basis involving dunkl wavelets are studied.
References
- C.K. Chui, An Introduction to Wavelets, Academic Press, New York (1992)
- Lokenath Debnath, Wavelet Transforms and their Applications, PINSA –A 6(1998), 685-713
- U.Depczynski, Sturm-Liouville wavelets, Applied and Computational Harmonic Analysis, 5(1998), 216-247.
- R.S. Pathak and M.M. Dixit, Continuous and discrete Bessel wavelet transforms, J. Computational and Applied Mathematics, 160 (2003), 241-250.
- Vagif S.GULIYEV and Yagub Y.MAMMADOV, Function Spaces and Integral Operators for The Dunkl Operators on the Real Line, Khajar Journal of Mathematics 4 (2006), 17-42.
- C.P.Pandey, Rakesh Mohan and B.N.Tripathi, Continuous Dunkl wavelet transform, International Journal of Current Engineering and technology , Vol 4, No.1, 2014
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