How smooth is your wavelet? Wavelet regularity via thermodynamic formalism
type: Item
instance of: scholarly article
title: How smooth is your wavelet? Wavelet regularity via thermodynamic formalism
zbMATH Open document ID: 1161.42020
author: Mark Pollicott
author: Howard Weiss
published in: Communications in Mathematical Physics
publication date: 2009-03-26T00:00:00Z
review text: The regularity of wavelet functions is important both in mathematics and applications. This paper presents an algorithm for computing Sobolev regularity of wavelets by using thermodynamic approach. One of main results, Theorem 2.2, is used to estimate the Sobolev exponent \(s_p\) for some interesting examples. Although those examples are compactly supported, the result can be extended to deal with non compact wavelets and even in higher dimensional cases.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 37C30
zbMATH DE Number: 5533175
zbMATH Keywords: wavelets
zbMATH Keywords: regularity
zbMATH Keywords: thermodynamic
reviewed by: Youming Liu
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s00220-008-0457-x
OpenAlex ID: W2080531275
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DOI: 10.1007/S00220-008-0457-X
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description: scientific article; zbMATH DE number 5533175