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Book synopsis

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.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Multi-parameter Singular Integrals. (AM-189), Volume I
• Author: Brian Street
• Language: English
• Binding: Paperback
• Number of pages: 416
• EAN: 9780691162522
• ISBN: 0691162522
• ID: 04642073
• Publisher: Princeton University Press
• Weight: 694 g
• Dimensions: 237 × 167 × 26 mm
• Date of publishing: 05. October 2014

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