Wavelets on fractals and Besov spaces

DOI10.1007/BF02476031zbMath0912.42025MaRDI QIDQ1271495

Alf Jonsson

Publication date: 27 April 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59568

zbMATH Keywords

waveletsBesov spacesfractalsfunction spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (13)

Wavelets on fractals ⋮ Multiresolution Analysis for Markov Interval Maps ⋮ Fourier transforms on Cantor sets: a study in non-Diophantine arithmetic and calculus ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ Numerical quadrature for singular integrals on fractals ⋮ Codes as fractals and noncommutative spaces ⋮ Haar wavelets of higher order on fractals and regularity of functions. ⋮ \(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries ⋮ Cuntz-Krieger algebras and wavelets on fractals ⋮ Spectral triples and wavelets for higher-rank graphs

Cites Work

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• Piecewise linear wavelets on Sierpinski gasket type fractals
• Local regularity of nonsmooth wavelet expansions and application to the Polya function
• Brownian motion on fractals and function spaces
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Ten Lectures on Wavelets
• Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces
• The dual of Besov spaces on fractals
• Solving the inverse problem for measures using iterated function systems: a new approach

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