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Methods of Fourier Analysis and Approximation Theory [electronic resource] / edited by Michael Ruzhansky, Sergey Tikhonov.

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dc.contributor.author Ruzhansky, Michael. editor.
dc.contributor.author Tikhonov, Sergey. editor.
dc.contributor.author SpringerLink (Online service)
dc.date.accessioned 2017-12-01T12:35:21Z
dc.date.available 2017-12-01T12:35:21Z
dc.date.created 2016.
dc.date.issued 2016
dc.identifier.isbn 9783319274669
dc.identifier.uri http://dspace.conacyt.gov.py/xmlui/handle/123456789/16330
dc.description VIII, 258 p. 8 illus.
dc.description.abstract 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.
dc.description.tableofcontents 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 Calder n-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. .
dc.language eng
dc.publisher Cham : Springer International Publishing : Imprint: Birkh user, 2016.
dc.relation.ispartofseries Springer eBooks
dc.relation.ispartofseries Applied and Numerical Harmonic Analysis, 2296-5009
dc.relation.ispartofseries Applied and Numerical Harmonic Analysis, 2296-5009
dc.relation.uri http://cicco.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-27466-9
dc.subject Mathematics.
dc.subject Harmonic analysis.
dc.subject Fourier analysis.
dc.subject Numerical analysis.
dc.subject Mathematics.
dc.subject Fourier Analysis.
dc.subject Abstract Harmonic Analysis.
dc.subject Numerical Analysis.
dc.subject.ddc 515.2433 23
dc.subject.lcc QA403.5-404.5
dc.subject.other Mathematics and Statistics (Springer-11649)
dc.title Methods of Fourier Analysis and Approximation Theory [electronic resource] / edited by Michael Ruzhansky, Sergey Tikhonov.
dc.type text
dc.identifier.doi 10.1007/978-3-319-27466-9
dc.description.edition 1st ed. 2016.
dc.identifier.bib 978-3-319-27466-9
dc.format.rdamedia computer
dc.format.rdacarrier online resource
dc.format.rda text file PDF

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