Overview
- Presents recent developments in real and harmonic analysis
- Contributors include outstanding researchers in their respective fields
- Offers a good blend of expository chapters and state-of-the-art surveys
- Is a good reference for graduate students and pure and applied mathematicians
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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About this book
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. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea.
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Editors and Affiliations
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Bibliographic Information
Book Title: Recent Developments in Real and Harmonic Analysis
Book Subtitle: In Honor of Carlos Segovia
Editors: Carlos Cabrelli, Jose Luis Torrea
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-4588-5
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2010
Hardcover ISBN: 978-0-8176-4531-1Published: 05 October 2009
eBook ISBN: 978-0-8176-4588-5Published: 10 March 2010
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XXII, 196
Topics: Abstract Harmonic Analysis, Fourier Analysis, Real Functions, Analysis, Partial Differential Equations, Mathematical and Computational Engineering
Keywords
- Carlos Segovia
- Hardy, Lipschitz spaces
- Monge–Ampère equations
- Singular integral
- functional analysis
- gas flow, porous media
- global well-posedness, KPI Equation
- harmonic analysis
- harmonic analysis, Hermite expansions
- one-sided operators
- partial differential equation
- spaces of homogeneous type
- vector-valued singular integral equations
- partial differential equations