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.
| ISBN: | 9780691162522 |
| Publication date: | 28th October 2014 |
| Author: | Brian V Street |
| Publisher: | Princeton University Press |
| Format: | Paperback |
| Pagination: | 416 pages |
| Series: | Annals of Mathematics Studies |
| Genres: |
Calculus Calculus and mathematical analysis |
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.
Multi-Parameter Singular Integrals features in the following genres: Calculus, Calculus and mathematical analysis
Multi-Parameter Singular Integrals is available in Paperback
Multi-Parameter Singular Integrals was written by Brian V Street and published by Princeton University Press
Multi-Parameter Singular Integrals has 416 pages
Yes it is part of Annals of Mathematics Studies series
£70.20