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Harmonic and geometric analysis

Citti, Giovanna.

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Harmonic and geometric analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic and geometric analysis/ by Giovanna Citti ... [et al.].
other author:	Citti, Giovanna.
Published:	Basel :Springer Basel : : 2015.,
Description:	ix, 170 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1 Models of the Visual Cortex in Lie Groups -- 2 Multilinear Calderon-Zygmund Singular Integrals -- 3 Singular Integrals and Weights -- 4 De Giorgi-Nash-Moser Theory.
Contained By:	Springer eBooks
Subject:	Harmonic analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-0348-0408-0
ISBN:	9783034804080 (electronic bk.)

Harmonic and geometric analysis
Harmonic and geometric analysis[electronic resource] /by Giovanna Citti ... [et al.]. - Basel :Springer Basel :2015. - ix, 170 p. :ill. (some col.), digital ;24 cm. - Advanced courses in mathematics, CRM Barcelona,2297-0304. - Advanced courses in mathematics, CRM Barcelona..

1 Models of the Visual Cortex in Lie Groups -- 2 Multilinear Calderon-Zygmund Singular Integrals -- 3 Singular Integrals and Weights -- 4 De Giorgi-Nash-Moser Theory.

This book presents an expanded version of four series of lectures delivered by the authors at the CRM. Harmonic analysis, understood in a broad sense, has a very wide interplay with partial differential equations and in particular with the theory of quasiconformal mappings and its applications. Some areas in which real analysis has been extremely influential are PDE's and geometric analysis. Their foundations and subsequent developments made extensive use of the Calderon-Zygmund theory, especially the Lp inequalities for Calderon-Zygmund operators (Beurling transform and Riesz transform, among others) and the theory of Muckenhoupt weights. The first chapter is an application of harmonic analysis and the Heisenberg group to understanding human vision, while the second and third chapters cover some of the main topics on linear and multilinear harmonic analysis. The last serves as a comprehensive introduction to a deep result from De Giorgi, Moser and Nash on the regularity of elliptic partial differential equations in divergence form.

ISBN: 9783034804080 (electronic bk.)

Standard No.: 10.1007/978-3-0348-0408-0doiSubjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.2433

Harmonic and geometric analysis
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245 0 0 $a Harmonic and geometric analysis $h [electronic resource] / $c by Giovanna Citti ... [et al.].
260 $a Basel : $b Springer Basel : $b Imprint: Birkhauser, $c 2015.
300 $a ix, 170 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics, CRM Barcelona, $x 2297-0304
505 0 $a 1 Models of the Visual Cortex in Lie Groups -- 2 Multilinear Calderon-Zygmund Singular Integrals -- 3 Singular Integrals and Weights -- 4 De Giorgi-Nash-Moser Theory.
520 $a This book presents an expanded version of four series of lectures delivered by the authors at the CRM. Harmonic analysis, understood in a broad sense, has a very wide interplay with partial differential equations and in particular with the theory of quasiconformal mappings and its applications. Some areas in which real analysis has been extremely influential are PDE's and geometric analysis. Their foundations and subsequent developments made extensive use of the Calderon-Zygmund theory, especially the Lp inequalities for Calderon-Zygmund operators (Beurling transform and Riesz transform, among others) and the theory of Muckenhoupt weights. The first chapter is an application of harmonic analysis and the Heisenberg group to understanding human vision, while the second and third chapters cover some of the main topics on linear and multilinear harmonic analysis. The last serves as a comprehensive introduction to a deep result from De Giorgi, Moser and Nash on the regularity of elliptic partial differential equations in divergence form.
650 0 $a Harmonic analysis. $3 555704
650 0 $a Geometric analysis. $3 1439441
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Analysis. $3 891106
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Citti, Giovanna. $e author. $3 2058907
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Advanced courses in mathematics, CRM Barcelona. $3 2070343
856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0408-0
950 $a Mathematics and Statistics (Springer-11649)