Regularity of the multidimensional scaling functions: estimation of the $L^{p}$-Sobolev exponent

Jarosław Kotowicz

ArticleOriginal scientific text

Title

Regularity of the multidimensional scaling functions: estimation of the $L^{p}$ -Sobolev exponent

Authors ¹

Affiliations

Institute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok, Poland

Abstract

The relationship between the spectral properties of the transfer operator corresponding to a wavelet refinement equation and the

L^{p}

-Sobolev regularity of solution for the equation is established.

Keywords

ENG

L^{p}

-Sobolev exponent, transfer operator, refinement equation, scaling functions, spectral radius

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Title

Regularity of the multidimensional scaling functions: estimation of the Lp-Sobolev exponent

Affiliations

Abstract

Keywords

Bibliography

Regularity of the multidimensional scaling functions: estimation of the $L^{p}$ -Sobolev exponent