Methods of Fourier analysis and approximation theory

• 其他作者：
  • Ruzhansky, Michael, editor.
  • Tikhonov, Sergey, editor.
  • SpringerLink (Online service)
• 其他題名：
  • Applied and numerical harmonic analysis.
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Applied and numerical harmonic analysis,
• 主題： Fourier analysis. , Approximation theory. , Mathematics. , Fourier Analysis. , Abstract Harmonic Analysis. , Numerical Analysis.
• ISBN： 9783319274669 (electronic bk.) 、 9783319274652 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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 Calderon-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. .
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• 摘要註: 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 Matematica (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.
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