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<p/><br></br><p><b> Book Synopsis </b></p></br></br><p>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. <i>Multi-parameter Singular Integrals</i> will interest graduate students and researchers working in singular integrals and related fields.</p><p/><br></br><p><b> About the Author </b></p></br></br><b>Brian Street</b> is assistant professor of mathematics at the University of Wisconsin-Madison.

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