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100   $a20160311d2016      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMethods of Fourier Analysis and Approximation Theory$b[electronic resource] /$fedited by Michael Ruzhansky, Sergey Tikhonov
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (255 p.)
225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009
300   $aDescription based upon print version of record.
311   $a3-319-27465-1 
320   $aIncludes bibliographical references.
327   $a1. 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. .
330   $aDifferent facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August 2013, at the section ?Approximation Theory and Fourier Analysis?. The second event was the conference on Fourier Analysis and Approximation Theory in the Centre de Recerca Matemàtica (CRM), Barcelona, during 4th-8th November 2013, organized by the editors of this volume. All articles selected to be part of this collection were carefully reviewed.
410  0$aApplied and Numerical Harmonic Analysis,$x2296-5009
606   $aFourier analysis
606   $aHarmonic analysis
606   $aNumerical analysis
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aFourier analysis.
615  0$aHarmonic analysis.
615  0$aNumerical analysis.
615 14$aFourier Analysis.
615 24$aAbstract Harmonic Analysis.
615 24$aNumerical Analysis.
676   $a510
702   $aRuzhansky$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aTikhonov$b Sergey$4edt$4http://id.loc.gov/vocabulary/relators/edt
906   $aBOOK
912   $a9910254068903321
996   $aMethods of Fourier analysis and approximation theory$91523456
997   $aUNINA