Harmonic and geometric analysis /

Harmonic and geometric analysis /

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Bibliographic Details
Imprint:	Basel : Birkhäuser, 2015.
Description:	1 online resource (ix, 170 pages) : illustrations (some color).
Language:	English
Series:	Advanced Courses in Mathematics - CRM Barcelona, 2297-0304 Advanced courses in mathematics, CRM Barcelona,
Subject:	Harmonic analysis. Geometric analysis. Geometric analysis. Harmonic analysis.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11093609

Hidden Bibliographic Details
Other authors / contributors:	Citti, Giovanna, author. Mateu, Joan, editor.
ISBN:	9783034804080 3034804083 3034804075 9783034804073 9783034804073
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references. Online resource; title from PDF title page (SpringerLink, viewed May 8, 2015).
Summary:	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 Calderón?Zygmund theory, especially the Lp inequalities for Calderón?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.
Other form:	Printed edition: 9783034804073
Standard no.:	10.1007/978-3-0348-0408-0

Description
Summary:	This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.
Physical Description:	1 online resource (ix, 170 pages) : illustrations (some color).
Bibliography:	Includes bibliographical references.
ISBN:	9783034804080 3034804083 3034804075 9783034804073
ISSN:	2297-0304