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

Princeton University Press
Free sample

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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About the author

Brian Street is assistant professor of mathematics at the University of Wisconsin–Madison.
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Additional Information

Publisher
Princeton University Press
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Seller
Google LLC
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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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Available on Android devices
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Eligible for Family Library

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