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Multi parameter Singular Integrals AM 189 Volume I Book PDF Summary

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.

Detail Book of Multi parameter Singular Integrals AM 189 Volume I PDF

Multi parameter Singular Integrals   AM 189   Volume I
  • Author : Brian Street
  • Release : 05 October 2014
  • Publisher : Princeton University Press
  • ISBN : 9781400852758
  • Genre : Mathematics
  • Total Page : 412 pages
  • Language : English
  • PDF File Size : 17,6 Mb

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