Geometric Analysis of the Bergman Kernel and Metric (Graduate Texts in Mathematics, 268)
ISBN-13:
9781461479239
ISBN-10:
1461479231
Edition:
2013
Author:
Steven G. Krantz
Publication date:
2013
Publisher:
Springer
Format:
Hardcover
305 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
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Edition: First Edition; Very Good; Very good hardcover, NOT ex-library. Bump to bottom edge, otherwise shelfwear is minimal. Interior appears free of markings. Appears to be a print-on-demand edition of pretty good quality, published by Springer. Ships from Dinkytown in Minneapolis, Minnesota.
Book details
ISBN-13:
9781461479239
ISBN-10:
1461479231
Edition:
2013
Author:
Steven G. Krantz
Publication date:
2013
Publisher:
Springer
Format:
Hardcover
305 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
Summary
Geometric Analysis of the Bergman Kernel and Metric (Graduate Texts in Mathematics, 268) (ISBN-13: 9781461479239 and ISBN-10: 1461479231), written by authors
Steven G. Krantz, was published by Springer in 2013.
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Description
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians.Graduate students who have taken courses in complex variablesand 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.
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