Methods of Fourier Analysis and Approximation Theory 2016 (Applied and Numerical Harmonic Analysis)

ISBN 10: 3319274651 / ISBN 13: 9783319274652

Edité par Springer (India) Private Limited, 2016

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N° de réf. du vendeur 26373142428

Détails bibliographiques

• Titre: Methods of Fourier Analysis and Approximation Theory 2016 (Applied and Numerical Harmonic Analysis)
• Éditeur: Springer (India) Private Limited
• Date de parution: 2016
• Langue: anglais
• ISBN à 10 chiffres: 3319274651
• ISBN à 13 chiffres: 9783319274652
• Reliure: Couverture rigide
• État de l'article: New

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Synopsis

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.