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Methods of Fourier Analysis and Approximation Theory

Methods of Fourier Analysis and Approximation Theory
Catalogue Information
Field name Details
Dewey Class 515.2433
Title Methods of Fourier Analysis and Approximation Theory ([EBook]) / edited by Michael Ruzhansky, Sergey Tikhonov.
Added Personal Name Ruzhansky, Michael editor.
Tikhonov, Sergey editor.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2016.
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details VIII, 258 p. 8 illus. : online resource.
Series Applied and numerical harmonic analysis 2296-5009
ISBN 9783319274669
Summary Note Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August 2013, at the section “Approximation Theory and Fourier Analysis”. The second event was the conference on Fourier Analysis and Approximation Theory in the Centre de Recerca Matemàtica (CRM), Barcelona, during 4th-8th November 2013, organized by the editors of this volume. All articles selected to be part of this collection were carefully reviewed.:
Contents note 1. Introduction -- 2. Fourier analysis -- 2.1. Parseval frames -- 2.2. Hyperbolic Hardy classes and logarithmic Bloch spaces -- 2.3. Logan's and Bohman's extremal problems -- 2.4. Weighted estimates for the Hilbert transform -- 2.5. Q-Measures and uniqueness sets for Haar series -- 2.6. O-diagonal estimates for Calderón-Zygmund operators -- 3. Function spaces of radial functions -- 3.1. Potential spaces of radial functions -- 3.2. On Leray's formula -- 4. Approximation theory -- 4.1. Approximation order of Besov classes -- 4.2. Ulyanov inequalities for moduli of smoothness -- 4.3. Approximation order of Besov classes -- 5. Optimization theory and related topics -- 5.1. The Laplace-Borel transform -- 5.2. Optimization control problems -- 2 Michael Ruzhansky and Sergey Tikhonov.-5.3. Optimization control problems for parabolic equation -- 5.4. Numerical modeling of the linear filtration -- References. .
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-27466-9
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