Logo - springer
Slogan - springer

Mathematics - Analysis | Geometric Analysis of the Bergman Kernel and Metric

Geometric Analysis of the Bergman Kernel and Metric

Series: Graduate Texts in Mathematics, Vol. 268

Krantz, Steven G.

2013, XIII, 292 p. 7 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$59.99

(net) price for USA

ISBN 978-1-4614-7924-6

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$79.99

(net) price for USA

ISBN 978-1-4614-7923-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • 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
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 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.

Content Level » Graduate

Keywords » Bergman kernel - Bergman metric - Bergman theory - applications to Bergman - holomorphic mapping - integral formulas - invariant metrics - reproducing kernels

Related subjects » Analysis - Dynamical Systems & Differential Equations - Geometry & Topology

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.