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Catalogue Information
Field name
Details
Dewey Class
515.785
Title
Harmonic Analysis and Applications ([EBook] /) / edited by Michael Th. Rassias.
Added Personal Name
Rassias, Michael Th
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details
VIII, 359 p. 48 illus., 33 illus. in color. : online resource.
Series
Springer Optimization and Its Applications
1931-6836 ; ; 168
ISBN
9783030618872
Summary Note
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.:
Contents note
Sampling and Approximation in Shift Invariant subspaces of L2(ℝ) (Atreas) -- Optimal ℓ1 rank one matrix decomposition (Balan) -- An arithmetical function related to Báez-Duarte’s criterion for the Riemann hypothesis (Balazard) -- Large Sets Avoiding Rough Patterns (Zahl) -- PDE methods in Random Matrix Theory (Hall) -- Structure and optimisation in computational harmonic analysis – On key aspects in sparse regularisation (Hansen) -- Reflections on a Theorem of Boas and Pollard (Heil) -- The Andoni-Krauthgamer-Razenshteyn characterization of sketchable norms fails for sketchable metrics (Noar) -- Degree of convergence of some operators 1 (Mohapatra) -- Real variable methods in harmonic analysis and Navier–Stokes equations (Lemarié-Rieusset) -- Explore intrinsic geometry of sleep dynamics and predict sleep stage by unsupervised learning techniques (Wu) -- Harmonic functions in slabs and half-spaces (Madych).
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-61887-2
Links to Related Works
Subject References:
Abstract Harmonic Analysis
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Dynamical Systems
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Functions of complex variables
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Harmonic analysis
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Number Theory
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Numerical Analysis
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Several Complex Variables and Analytic Spaces
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Authors:
editor
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Rassias, Michael Th
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer Optimization and Its Applications
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Classification:
515.785
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