Trigonometric and Wavelet Transforms for Certain Class of Generalized Functions
distribution; tempered ultradistribution; wavelet transform; generalized functions; fourier sine transform
Abstract
In this article, we discuss certain class of generalized functions for sine and cosine transforms. we, also obtain a new relationship between Fourier sine transform (Fourier cosine transform) and wavelet transform. Other related theorems are also established in concern.
Downloads
How to Cite
References
S Al-Omari (2009) Certain Class of Kernels for Roumieu-Type Convolution Transform of Ultradistribution of Compact Growth. 7(4), 310-316.
S Al-Omari (2009) GENERALIZED ROUMIEU TEMPERED ULTRADISTRIBUTIONS. 9(2), 213-227.
S Al-Omari, J Al-Omari (2010) Operations on Multipliers and Certain Spaces of Tempered Ultradistributions of Roumieu and Beurling types for the Hankel-type Transformations.
P Banerji, S Al-Omari, Lokenath Debnath (2006) Tempered distributional Fourier sine (cosine) transform. 17(11), 759-768.
M Holschneider, Wavelets (1995) an Analysis Tool.
M Raghuveer, S Ajit (1998) Wavelet Transforms,Introduction to Theory and Application.
S Al-Omari (2010) On the Continuous-time Wavelet Transform of Generalized Functions. 4(21), 1027-1034.
I Sneddon (1974) The Use of Integral Transforms.
S Al-Omari, D Loonker, P Banerji, S Kalla (2008) Fourier Sine(Cosine) Transform for Ultradistributions and their Extensions to Tempered and UltraBoehmian Spaces. 19(6), 453-462.
(2026) Acknowledgement. iv-iv.
Published
2012-11-22
Issue
Section
License
Copyright (c) 2012 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.