Harmonic and Geometric Analysis (Advanced Courses in Mathematics - CRM Barcelona)

Xiao Zhong Alessandro Sarti Carlos P?rez Loukas Grafakos Citti Giovanna

ISBN 10: 3034804075 / ISBN 13: 9783034804073

Published by Springer, 2015

About this Item

pp. 179 2015th edition.

Seller Inventory # 2696984782

Bibliographic Details

• Title: Harmonic and Geometric Analysis (Advanced Courses in Mathematics - CRM Barcelona)
• Publisher: Springer
• Publication Date: 2015
• Language: English
• ISBN 10: 3034804075
• ISBN 13: 9783034804073
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

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 L^p 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.