INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461479246
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52413
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Geometric Analysis of the Bergman Kernel and Metri
General Material Designation
[Book]
Other Title Information
:[delta
First Statement of Responsibility
/ by Steven G. Krantz
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY
Name of Publisher, Distributor, etc.
: Springer New York :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XIII, 292 p. 7 illus., online resource.
SERIES
Series Title
(Graduate Texts in Mathematics,0072-5285
Volume Designation
; 268)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
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, itpresents 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 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.
Text of Note
Preface -- 1. Introductory Ideas -- 2.The Bergman Metric -- 3. Geometric and Analytic Ideas -- 4. Partial Differential Equations -- 5. Further Geometric Explorations -- 6. Additional Analytic Topics -- 7. Curvature of the Bergman Metric -- 8. Concluding Remarks -- Table of Notation -- Bibliography -- Index.?╗╣
SERIES
Title
Graduate Texts in Mathematics,0072-5285
Volume Number
268
TOPICAL NAME USED AS SUBJECT
Mathematics
Global analysis (Mathematics)
Functional analysis
Differential equations, partial
Global differential geometry
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Krantz, Steven G.
PERSONAL NAME - SECONDARY RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9781461479239.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9781461479239.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
