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Multi-parameter Singular Integrals. (AM-189)
Brian Street

Paperback | 2014 | $75.00 | ($52.50) / £52.00 | (£36.40) | ISBN: 9780691162522
Hardcover | 2014 | $165.00 | ($115.50) / £115.00 | (£80.50) | ISBN: 9780691162515
416 pp. | 6 x 9 | 7 line illus.
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eBook | ISBN: 9781400852758 |
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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.

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


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    File created: 9/19/2015

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