Multi-parameter Singular Integrals, Volume I(English, Paperback, Street Brian)

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Multi-parameter Singular Integrals, Volume I(English, Paperback, Street Brian) is written by Street Brian and published by Princeton University Press. It's available with International Standard Book Number or ISBN identification 0691162522 (ISBN 10) and 9780691162522 (ISBN 13).

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-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. 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.