Piecewise linear wavelets on Sierpinski gasket type fractals

DOI10.1007/BF02649103zbMath0895.42015OpenAlexW2052546534MaRDI QIDQ1370722

Robert S. Strichartz

Publication date: 26 October 1997

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

Full work available at URL: https://eudml.org/doc/59513

zbMATH Keywords

waveletsHausdorff measurefractalsSierpinski gasketSobolev inequalitieswavelet basiscontinuous piecewise linear functionsvon Koch curvehexagasket

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractals (28A80)

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Some properties of the derivatives on Sierpinski gasket type fractals ⋮ Some results on planar self-affine measures with collinear digit sets ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Haar wavelets of higher order on fractals and regularity of functions. ⋮ Spectrality of a class of self-affine measures on R2 * ⋮ Cuntz-Krieger algebras and wavelets on fractals ⋮ Discrete characterisations of Lipschitz spaces on fractals ⋮ Spectrality of Sierpinski-Moran measures ⋮ Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry ⋮ Wavelets on fractals and Besov spaces ⋮ Spectral analysis on infinite Sierpiński gaskets ⋮ Gradients on fractals ⋮ Fractal differential equations on the Sierpiński gasket ⋮ Isoperimetric Estimates on Sierpinski Gasket Type Fractals

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