Multi-parameter Singular Integrals, Volume I
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Diffeomorphism
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Fourier inversion theorem
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Frobenius theorem (differential topology)
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Product details
- ISBN 9780691162522
- Weight: 680g
- Dimensions: 152 x 235mm
- Publication Date: 05 Oct 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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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.
Brian Street is assistant professor of mathematics at the University of Wisconsin-Madison.
