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

Name: Multi-parameter Singular Integrals. (AM-189), Volume I
Brand: Princeton University Press
SKU: 04642073
Price: 107.56 EUR
Availability: InStock
Author: Brian Street
ISBN: 9780691162522

Brian Street

Language

English

Book Paperback

Libristo code: 04642073

Publishers Princeton University Press, October 2014

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathe... Full description

Libristo code: 04642073

261 b

107.56 €

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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.