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

• Autorzy: Jarosław Kotowicz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

$L^p$-Sobolev exponent; transfer operator; refinement equation; scaling functions; spectral radius

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1998-1999
• Tom: 25
• Numer: 4
• Strony: 431-447

Daty

wydano

1999

otrzymano

1997-11-18

poprawiono

1998-03-06

Twórcy

autor

Jarosław Kotowicz

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

Bibliografia

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• [5] I. Daubechies and J. Lagarias, Two-scale difference equation II. Local regularity, infinite products of matrices, and fractals, ibid. 23 (1992), 1031-1079.
• [6] K. Deimling, Nonlinear Functional Analysis, Springer, 1985.
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