Methods of Fourier Analysis and Approximation Theory

Häftad, Engelska, 2018

Del i serien Applied and Numerical Harmonic Analysis

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Beskrivning

Different facets of interplay between harmonic analysis andapproximation theory are covered in this volume. The topics included areFourier analysis, function spaces, optimization theory, partial differentialequations, and their links to modern developments in the approximation theory.

Produktinformation

Utgivningsdatum:2018-04-25
Mått:155 x 235 x 15 mm
Vikt:411 g
Format:Häftad
Språk:Engelska
Serie:Applied and Numerical Harmonic Analysis
Antal sidor:258
Förlag:Birkhauser Verlag AG
ISBN:9783319801483

Utforska kategorier

Innehållsförteckning

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.