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portada Multi-Parameter Singular Integrals. (Am-189), Volume i (Annals of Mathematics Studies)
Type
Physical Book
Year
2014
Language
English
Pages
416
Format
Paperback
ISBN13
9780691162522
Categories

Multi-Parameter Singular Integrals. (Am-189), Volume i (Annals of Mathematics Studies)

Brian Street (Author) · Princeton University Press · Paperback

Multi-Parameter Singular Integrals. (Am-189), Volume i (Annals of Mathematics Studies) - Brian Street

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Synopsis "Multi-Parameter Singular Integrals. (Am-189), Volume i (Annals of Mathematics Studies)"

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory 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-Carathéodory 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. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.

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