Multi-parameter Singular Integrals. (AM-189), Volume I /

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-par...

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Bibliographic Details
Main Author: Street, Brian, 1981- (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, [2014]
Series:Book collections on Project MUSE.
Subjects:
Transformations (Mathematics)
Singular integrals.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Calculus.
Integrales singulieres.
Electronic books.
Online Access:Texto completo
Description
Summary:This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples.
Physical Description:1 online resource.
ISBN:9781400852758

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