Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708296 | Applied Mathematics Letters | 2011 | 6 Pages |
Abstract
Wavelet analysis is a universal and promising tool with very rich mathematical content and great potential for applications in various scientific fields, in particular, in signal (image) processing and the theory of differential equations. On the other hand distributions are widely used in these fields. And to apply wavelet analysis in these areas it is important to define and investigate wavelet transforms of distributions. In this paper we introduce continuous wavelet transforms of distributions and study convergence properties of these transforms.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ravshan Ashurov, Almaz Butaev,