Harmonic Analysis and Applications

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 invarian...

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Bibliographic Details
Other Authors: Rassias, Michael Th (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2021, 2021
Edition:1st ed. 2021
Series:Springer Optimization and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Harmonic Analysis and Applications  |h Elektronische Ressource  |c edited by Michael Th. Rassias 
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300 |a VIII, 359 p. 48 illus., 33 illus. in color  |b online resource 
505 0 |a 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) 
653 |a Several Complex Variables and Analytic Spaces 
653 |a Number theory 
653 |a Numerical Analysis 
653 |a Functions of complex variables 
653 |a Dynamical Systems 
653 |a Number Theory 
653 |a Harmonic analysis 
653 |a Abstract Harmonic Analysis 
653 |a Numerical analysis 
653 |a Dynamical systems 
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520 |a 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