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portada Complex Potential Theory
Type
Physical Book
Publisher
Author
Language
English
Pages
552
Format
Paperback
Dimensions
23.4 x 15.6 x 3.0 cm
Weight
0.79 kg.
ISBN13
9789401044035
Categories

Complex Potential Theory

Gauthier, Paul M. ; Sabidussi, Gert (Author) · Springer · Paperback

Complex Potential Theory - Gauthier, Paul M. ; Sabidussi, Gert

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Synopsis "Complex Potential Theory"

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.

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