Affiliation:
1. Department of Mathematics, Institute of Science Banaras Hindu University Varanasi India
Abstract
We construct Gelfand–Shilov spaces of type
and discuss the continuity and boundedness of the ridgelet transform. We then extend the analysis to generalized functions and explore its application to the space of tempered ultradistributions. Finally, we extend our findings to Gevrey functions of compact support. We also discuss an application of the ridgelet transform in image processing.
Funder
University Grants Commission of Bangladesh
Reference23 articles.
1. Matching pursuits with time-frequency dictionaries
2. Wavelet‐like functions and the representation of finite length signals and images;Mallat S. G.;IEEE Trans. Sig. Process.,1994
3. Harmonic Analysis of Neural Networks
4. The curvelet transform for image denoising