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(DOWNLOAD) "Multi-parameter Singular Integrals. (AM-189), Volume I" by Brian Street " eBook PDF Kindle ePub Free

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

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eBook details

  • Title: Multi-parameter Singular Integrals. (AM-189), Volume I
  • Author : Brian Street
  • Release Date : January 05, 2014
  • Genre: Mathematics,Books,Science & Nature,Calculus,Professional & Technical,
  • Pages : * pages
  • Size : 40810 KB

Description

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.


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