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Complex Potential Theory

Name: Complex Potential Theory
Brand: Springer Netherlands
SKU: 01394491
Price: 106.69 EUR
Availability: InStock
Author: Paul M. Gauthier
ISBN: 9780792330059

Paul M. Gauthier

Gert Sabidussi

Language

English

Book Hardback

Libristo code: 01394491

Publishers Springer Netherlands, March 2011

In Complex Potential Theory, specialists in several complex variables meet with specialists in poten... Full description

Libristo code: 01394491

261 b

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In Complex Potential Theory, specialists in several complex variables meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The following topics are discussed: Real and complex potential theory. Capacity and approximation, basic properties of plurisubharmonic functions and methods to manipulate their singularities and study theory growth, Green functions, Chebyshev-like quadratures, electrostatic fields and potentials, propagation of smallness. Complex dynamics. Review of complex dynamics in one variable, Julia sets, Fatou sets, background in several variables, Hénon maps, ergodicity use of potential theory and multifunctions. Banach algebras and infinite dimensional holomorphy. Analytic multifunctions, spectral theory, analytic functions on a Banach space, semigroups of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space.