Multi-parameter Singular Integrals.

AM-189 , Volume I

Brian Street

$140

Paperback

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English

Princeton University Press
02 January 2015

Integral calculus & equations

Series: Annals of Mathematics Studies

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.

By: Brian Street
Imprint: Princeton University Press
Country of Publication: United States
Volume: 220
Dimensions: Height: 235mm, Width: 152mm, Spine: 25mm
Weight: 680g
ISBN: 9780691162522
ISBN 10: 0691162522
Series: Annals of Mathematics Studies
Pages: 416
Publication Date: 02 January 2015
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Brian Street is assistant professor of mathematics at the University of WisconsinMadison.