An Operator-Fractal

DOI10.1080/01630563.2012.682127zbMath1310.28007arXiv1109.3168OpenAlexW2049837379MaRDI QIDQ2919993

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

Publication date: 23 October 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3168

zbMATH Keywords

spectrummultiresolutionfractalsunitary operators\(C^\ast\)-algebrasFourier basisCuntz relations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Abstract operator algebras on Hilbert spaces (47L30) Linear operators on function spaces (general) (47B38) Fractals (28A80) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

Scaling of spectra of a class of random convolution on \(\mathbb{R}\), Atomic representations of Cuntz algebras, Multiple Spectra of Bernoulli Convolutions, NUMBER THEORY PROBLEMS RELATED TO THE SPECTRUM OF CANTOR-TYPE MEASURES WITH CONSECUTIVE DIGITS, Monopoles, dipoles, and harmonic functions on Bratteli diagrams, Scalar spectral measures associated with an operator-fractal, Spectral fractal measures associated to IFS’s consisting of three contraction mappings, Scaling by \(5\) on a \(\frac{1}{4}\)-Cantor measure, Number theory problems from the harmonic analysis of a fractal

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