Harmonic and geometric analysis
Author(s)
Bibliographic Information
Harmonic and geometric analysis
(Advanced courses in mathematics CRM Barcelona)
Birkhäuser , Springer, c2015
- : [pbk.]
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Note
Other authors: Loukas Grafakos, Carlos Pérez, Alessandro Sarti, Xiao Zhong
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
1 Models of the Visual Cortex in Lie Groups.- 2 Multilinear Calderón–Zygmund Singular Integrals.- 3 Singular Integrals and Weights.- 4 De Giorgi–Nash–Moser Theory.
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