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On continuous wavelet transforms of distributions

โœ Scribed by Ravshan Ashurov; Almaz Butaev

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
218 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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.

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