Harmonic Analysis

DOI10.1090/CBMS/128zbMath1432.42023OpenAlexW2963672444MaRDI QIDQ4561790

Palle E. T. Jorgensen

Publication date: 13 December 2018

Published in: CBMS Regional Conference Series in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/cbms/128

zbMATH Keywords

waveletsFourier expansionstochastic processiterated function systemframesreflection positivityCuntz algebrafractalsfilterpositive definite functionBernoulli convolutionspectral pairfrequency band

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15) Fractals (28A80) Analysis on other specific Lie groups (43A80) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02) Harmonic analysis and PDEs (42B37)

Related Items (9)

Reflection positivity via Krein space analysis ⋮ Parseval frames from compressions of Cuntz algebras ⋮ The cardinality of orthogonal exponentials of planar self-affine measures with two-element digit set ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ Non-standard analysis for fractal calculus ⋮ Representation theory and multilevel filters ⋮ Harmonic analysis of network systems via kernels and their boundary realizations ⋮ Polymorphisms, their associated operator theory, self-similar fractals, and harmonic analysis ⋮ The maximal cardinality of \(\mu_{M,D}\)-orthogonal exponentials on the spatial Sierpinski gasket

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