Fourier duality for fractal measures with affine scales

DOI10.1090/S0025-5718-2012-02580-4zbMath1277.47033arXiv0911.1070OpenAlexW2110315418MaRDI QIDQ2840011

Palle E. T. Jorgensen, Dorin Ervin Dutkay

Publication date: 17 July 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1070

zbMATH Keywords

Hilbert spaceCantor setiterated function systemCantor measureBeurling densityFourier basesaffine fractal

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stochastic approximation (62L20) Fourier series and coefficients in several variables (42B05) Measures and integrals in product spaces (28A35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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