Recent Developments in Real and Harmonic Analysis
In Honor of Carlos Segovia
Editors: Cabrelli, Carlos, Torrea, Jose Luis (Eds.)
Free Preview- 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
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- About this book
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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, his original ideas and their evolution, which may be a source of inspiration for many mathematicians working in the fields of harmonic analysis, functional analysis, and partial differential equations. Apart from this contribution, two different types of chapters are featured in the work: 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
This book will be useful to graduate students as well as pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis.
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
- Table of contents (10 chapters)
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Carlos Segovia Fernández
Pages 1-24
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Balls as Subspaces of Homogeneous Type: On a Construction due to R. Macías and C. Segovia
Pages 25-36
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Some Aspects of Vector-Valued Singular Integrals
Pages 37-56
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Products of Functions in Hardy and Lipschitz or BMO Spaces
Pages 57-71
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Harmonic Analysis Related to Hermite Expansions
Pages 73-96
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Table of contents (10 chapters)
- Download Preface 1 PDF (65.4 KB)
- Download Sample pages 1 PDF (655.2 KB)
- Download Table of contents PDF (73.6 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Recent Developments in Real and Harmonic Analysis
- Book Subtitle
- In Honor of Carlos Segovia
- Editors
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- Carlos Cabrelli
- Jose Luis Torrea
- Series Title
- Applied and Numerical Harmonic Analysis
- Copyright
- 2010
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Birkhäuser Boston
- eBook ISBN
- 978-0-8176-4588-5
- DOI
- 10.1007/978-0-8176-4588-5
- Hardcover ISBN
- 978-0-8176-4531-1
- Series ISSN
- 2296-5009
- Edition Number
- 1
- Number of Pages
- XXII, 196
- Topics
