Families of spectral sets for Bernoulli convolutions

DOI10.1007/s00041-010-9158-xzbMath1235.28008arXiv0911.2435OpenAlexW2003529992MaRDI QIDQ719694

Karen L. Shuman, Keri A. Kornelson, Palle E. T. Jorgensen

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/0911.2435

zbMATH Keywords

Fourier transformself-similarityspectral functionframe operatorBernoulli convolutionmaximal orthogonal familyspectral pairfractal measures

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Fractals (28A80) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Uniqueness and localization for orthogonal series (42C25)

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