A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia's mathematical life, highlighting his original ideas and their evolution. Also included are surveys dealing with Carlos' favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him.
Specific topics covered include: Vector-valued singular integral equations; Harmonic analysis related to Hermite expansions; Gas flow in porous media; Global well-posedness of the KPI Equation; Monge-Ampère type equations and applications; Spaces of homogeneous type; Hardy and Lipschitz spaces; One-sided operators.
Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutìerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macìas, J.J. Manfredi, F.J. Martìn-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea.
| ISBN: | 9780817645311 |
| Publication date: | 5th October 2009 |
| Author: | Carlos A Cabrelli, José Luis Torrea |
| Publisher: | Birkhauser an imprint of Birkhäuser Boston |
| Format: | Hardback |
| Pagination: | 193 pages |
| Series: | Applied and Numerical Harmonic Analysis |
| Genres: |
Complex analysis, complex variables Functional analysis and transforms Differential calculus and equations Real analysis, real variables Calculus and mathematical analysis Maths for engineers |