عنوان

Harmonic and geometric analysis /

(Number (ISBN

3034804075

(Number (ISBN

3034804083

(Number (ISBN

9783034804073

(Number (ISBN

9783034804080

Erroneous ISBN

9783034804073

Number

b423343

Title Proper

Harmonic and geometric analysis /

General Material Designation

[Book]

First Statement of Responsibility

Giovanna Citti, Loukas Grafakos, Carlos Pe+{327́}rez, Alessandro Sarti, Xiao Zhong ; editor for this volume: Joan Mateu

Specific Material Designation and Extent of Item

1 online resource (ix, 170 pages) :

Other Physical Details

illustrations (some color).

Series Title

Advanced Courses in Mathematics - CRM Barcelona,

ISSN of Series

2297-0304

Text of Note

Includes bibliographical references

Text of Note

1 Models of the Visual Cortex in Lie Groups -- 2 Multilinear Caldero+{327́}n Zygmund Singular Integrals -- 3 Singular Integrals and Weights -- 4 De Giorgi?Nash?Moser Theory

0

Text of Note

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 Caldero+{327́}n Zygmund theory, especially the Lp inequalities for Caldero+{327́}n 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

International Standard Book Number

9783034804073

Geometric analysis.

Harmonic analysis.

Analysis.

Mathematics.

Partial Differential Equations.

MAT034000

PBK

Number

Edition

Class number

Citti, Giovanna

Mateu, Joan

Ohio Library and Information Network.

Date of Transaction

20161021103516.6

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y