Overview
- Several topics are presented for the first time in book form
- Textbook for graduate students that will also benefit seasoned researchers in mathematics
- Includes illustrative examples and carefully chosen exercises
- Discusses applications to function theory, geometry, partial differential equations, and interpretations in terms of functional analysis
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 268)
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Table of contents (8 chapters)
Keywords
About this book
Graduate students who have taken courses in complex variables
and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory.
Reviews
From the book reviews:
“This book is a compendium on the current state of Bergman theory in several complex variables would be an excellent source for a graduate course on Bergman theory in several complex variables. It is a must have for graduate students in this area as well as mathematicians wanting to learn more about this theory. It begins with the basics and ends at the forefront of current research.” (Steven Deckelman, MAA Reviews, December, 2014)
“The monograph under review gives the reader a look at the ever-evolving Bergman theory. … The book covers a great deal of interesting topics on the Bergman kernel and metric. In particular, it abounds with useful and instructive calculation, much of which cannot be found elsewhere. It will certainly be an invaluable resource for students as well as seasoned researchers in geometric analysis of the Bergman kernel and metric.” (Jianbing Su, Mathematical Reviews, October, 2014)Authors and Affiliations
About the author
Bibliographic Information
Book Title: Geometric Analysis of the Bergman Kernel and Metric
Authors: Steven G. Krantz
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-7924-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-7923-9Published: 21 September 2013
Softcover ISBN: 978-1-4939-4429-3Published: 23 August 2016
eBook ISBN: 978-1-4614-7924-6Published: 20 September 2013
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XIII, 292
Number of Illustrations: 7 b/w illustrations
Topics: Analysis, Partial Differential Equations, Functional Analysis, Differential Geometry