Geometric Analysis of the Bergman Kernel and Metric: 268 by Steven G. Krantz

Off Functional Analysis

By Steven G. Krantz

this article offers a masterful and systematic remedy of all of the simple analytic and geometric points of Bergman's vintage concept of the kernel and its invariance houses. those comprise calculation, invariance homes, boundary asymptotics, and asymptotic growth of the Bergman kernel and metric. in addition, it provides a different compendium of effects with purposes to operate conception, geometry, partial differential equations, and interpretations within the language of sensible research, with emphasis at the a number of complicated variables context. a number of of those themes seem the following for the 1st time in ebook shape. each one bankruptcy comprises illustrative examples and a set of routines as a way to be of curiosity to either graduate scholars and skilled mathematicians.

Graduate scholars who've taken classes in complicated variables
and have a easy historical past in genuine and practical research will locate this textbook attractive. acceptable classes for both major or supplementary utilization contain these in advanced variables, numerous advanced variables, complicated differential geometry, and partial differential equations. Researchers in complicated research, harmonic research, PDEs, and intricate differential geometry also will enjoy the thorough remedy of the various fascinating points of Bergman's theory.

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