大葉大學圖書館 |

Methods of Fourier analysis and approximation theory[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.2433
書名/作者:	Methods of Fourier analysis and approximation theory/ edited by Michael Ruzhansky, Sergey Tikhonov.
其他作者:	Ruzhansky, Michael.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	viii, 258 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Fourier analysis.
標題:	Approximation theory.
標題:	Mathematics.
標題:	Fourier Analysis.
標題:	Abstract Harmonic Analysis.
標題:	Numerical Analysis.
ISBN:	9783319274669
ISBN:	9783319274652
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. .
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-27466-9

Methods of Fourier analysis and approximation theory[electronic resource] /
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:

181014
Fourier analysis.

LC Class. No.: QA403.5

Dewey Class. No.: 515.2433

Methods of Fourier analysis and approximation theory[electronic resource] /
LDR:02741nam a2200325 a 4500 001 446823
003 DE-He213
005 20160922132326.0
006 m d
007 cr nn 008maaau
008 161201s2016 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 181014
650 0 $a Approximation theory. $3 405338
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Fourier Analysis. $3 463928
650 2 4 $a Abstract Harmonic Analysis. $3 466398
650 2 4 $a Numerical Analysis. $3 465756
700 1 $a Ruzhansky, Michael. $3 604678
700 1 $a Tikhonov, Sergey. $3 592116
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Applied and numerical harmonic analysis. $3 465811
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27466-9
950 $a Mathematics and Statistics (Springer-11649)