Open Access
2006/2007 Wavelets and Besov spaces on Mauldin-Williams fractals.
Mats Bodin
Author Affiliations +
Real Anal. Exchange 32(1): 119-144 (2006/2007).


A. Jonsson has constructed wavelets of higher order on self-similar sets, and characterized Besov spaces on totally disconnected self-similar sets, by means of the magnitude of the coefficients in the wavelet expansion of the function. For a class of self-similar sets, W. Jin shows that such wavelets can be constructed by recursively calculating moments. We extend their results to a class of graph-directed self-similar sets, introduced by R. D. Mauldin and S. C. Williams.


Download Citation

Mats Bodin. "Wavelets and Besov spaces on Mauldin-Williams fractals.." Real Anal. Exchange 32 (1) 119 - 144, 2006/2007.


Published: 2006/2007
First available in Project Euclid: 17 July 2007

zbMATH: 1153.42015
MathSciNet: MR2329226

Primary: 42C15 , 46E35
Secondary: 28A80 , ‎42C40

Keywords: Besov spaces , graph-directed self-similar sets , Wavelets

Rights: Copyright © 2006 Michigan State University Press

Vol.32 • No. 1 • 2006/2007
Back to Top