東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Methods of Fourier analysis and appr...

Ruzhansky, Michael.

Linked to FindBook

Google Book

Amazon

博客來

Methods of Fourier analysis and approximation theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Methods of Fourier analysis and approximation theory/ edited by Michael Ruzhansky, Sergey Tikhonov.
other author:	Ruzhansky, Michael.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	viii, 258 p. :ill., digital ;24 cm.
[NT 15003449]:	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. .
Contained By:	Springer eBooks
Subject:	Fourier analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-27466-9
ISBN:	9783319274669

Methods of Fourier analysis and approximation theory
Methods of Fourier analysis and approximation theory[electronic resource] /edited by Michael Ruzhansky, Sergey Tikhonov. - Cham :Springer International Publishing :2016. - viii, 258 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5009. - Applied and numerical harmonic analysis..

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. .

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.

ISBN: 9783319274669

Standard No.: 10.1007/978-3-319-27466-9doiSubjects--Topical Terms:

532730
Fourier analysis.

LC Class. No.: QA403.5

Dewey Class. No.: 515.2433

Methods of Fourier analysis and approximation theory
LDR:02741nmm m2200325 m 4500 001 2032772
003 DE-He213
005 20160922132326.0
006 m d
007 cr nn 008maaau
008 161011s2016 gw s 0 eng d
020 $a 9783319274669 $q (electronic bk.)
020 $a 9783319274652 $q (paper)
024 7 $a 10.1007/978-3-319-27466-9 $2 doi
035 $a 978-3-319-27466-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA403.5
072 7 $a PBKF $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.2433 $2 23
090 $a QA403.5 $b .M592 2016
245 0 0 $a Methods of Fourier analysis and approximation theory $h [electronic resource] / $c edited by Michael Ruzhansky, Sergey Tikhonov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a viii, 258 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied and numerical harmonic analysis, $x 2296-5009
505 0 $a 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. .
520 $a 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.
650 0 $a Fourier analysis. $3 532730
650 0 $a Approximation theory. $3 628068
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Abstract Harmonic Analysis. $3 891093
650 2 4 $a Numerical Analysis. $3 892626
700 1 $a Ruzhansky, Michael. $3 1066908
700 1 $a Tikhonov, Sergey. $3 2072789
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Applied and numerical harmonic analysis. $3 625188
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27466-9
950 $a Mathematics and Statistics (Springer-11649)