Brian StreetOctober 5, 2014

Princeton University PressThis 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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Publisher

Princeton University Press

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Published on

Oct 5, 2014

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Pages

416

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ISBN

9781400852758

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Language

English

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Genres

Mathematics / Calculus

Mathematics / Mathematical Analysis

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Content Protection

This content is DRM protected.

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