Geometric analysis of the Bergman kernel and metric / Steven G. Krantz
Type de document : Livre numériqueCollection : Graduate texts in mathematics, 268Langue : anglais.Éditeur : New York : Springer, cop. 2013ISBN: 9781461479239.ISSN: 0072-5285.Sujet MSC : 32A25, Holomorphic functions of several complex variables, Integral representations; canonical kernels (Szegő, Bergman, etc.)32A36, Holomorphic functions of several complex variables, Bergman spaces of functions
30C40, Functions of a complex variable - Geometric function theory, Kernel functions in one complex variable and applications
32F45, Geometric convexity in several complex variables, Invariant metrics and pseudodistances in several complex variables
46E22, Functional analysis - Linear function spaces and their duals, Hilbert spaces with reproducing kernelsEn-ligne : Springerlink | MathSciNet | zbMath
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The monograph gives the reader a look at the ever-evolving Bergman theory. The author endeavors to reveal powerful roles of the Bergman kernel and metric for function theory, analysis, differential geometry, and partial differential equations, examine its key features and bring the reader up to speed with some of the latest developments. Mainly, he includes Bergman's ideas, Lu Qi-Keng's conjecture, Fefferman's work and the work of Greene and Krantz, etc. ... (MSN)
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