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Harmonic and geometric analysis

Citti, Giovanna.

Harmonic and geometric analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Harmonic and geometric analysisby Giovanna Citti ... [et al.].
其他作者:	Citti, Giovanna.
出版者:	Basel :Springer Basel :2015.
面頁冊數:	ix, 170 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Harmonic analysis.
電子資源:	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:

189705
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.2433

Harmonic and geometric analysis
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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.
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