Rassias Harmonic Analysis and Applications

Harmonic Analysis and Applications

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Beschreibung

This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied. Contributions cover a variety of different topics and problems treated such as structure and optimization in computational harmonic analysis, sampling and approximation in shift invariant subspaces of L2(ℝ), optimal rank one matrix decomposition, the Riemann Hypothesis, large sets avoiding rough patterns, Hardy Littlewood series, Navier–Stokes equations, sleep dynamics exploration and automatic annotation by combining modern harmonic analysis tools, harmonic functions in slabs and half-spaces, Andoni –Krauthgamer –Razenshteyn characterization of sketchable norms fails for sketchable metrics, random matrix theory, multiplicative completion of redundant systems in Hilbert and Banach function spaces.

Efforts have been made to ensure that the content of the book constitutes a valuable resource for graduate students as well as senior researchers working on Harmonic Analysis and its various interconnections with related areas.


This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied. Contributions cover a variety of different topics and problems treated such as structure and optimization in computational harmonic analysis, sampling and approximation in shift invariant subspaces of L2(ℝ), optimal rank one matrix decomposition, the Riemann Hypothesis, large sets avoiding rough patterns, Hardy Littlewood series, Navier–Stokes equations, sleep dynamics exploration and automatic annotation by combining modern harmonic analysis tools, harmonic functions in slabs and half-spaces, Andoni –Krauthgamer –Razenshteyn characterization of sketchable norms fails for sketchable metrics, random matrix theory, multiplicative completion of redundant systems in Hilbert and Banach function spaces. Efforts have been made to ensure that the content of the book constitutes a valuable resource for graduate students as well as senior researchers working on HarmonicAnalysis and its various interconnections with related areas.




Interdisciplinary approach to harmonic analysis Features new open problems Introduces a variety of mathematical methods,theories, and techniques

Autor*in

Michael Th. Rassias

Themen in »Harmonic Analysis and Applications«

Harmonic Analysis trigonometric approximation van der Corput sets Dirichlet polynomials Turan’s method L-functions Analytic Number Theory Euclidean spaces nontrigonometric Harmonic Analysis

Stimmen zu »Harmonic Analysis and Applications«

“It might serve as the foundation for the occasional graduate topics course in harmonic analysis. Many of the contributed chapters present new results and most provide a thoughtful introduction along with sufficient references to orient readers unfamiliar with the relevant subfield.” (Brody Johnson, MAA Reviews, October 3, 2021)
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Details

ISBN: 9783030618865
Verlag: Springer International Publishing
Erscheinung: 01.04.2021

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