Complex Potential Theory

Paul M Gauthier

ISBN 10: 0792330056 / ISBN 13: 9780792330059

Published by Springer Jul 1994, 1994

About this Item

Neuware - 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.

Seller Inventory # 9780792330059

Bibliographic Details

• Title: Complex Potential Theory
• Publisher: Springer Jul 1994
• Publication Date: 1994
• Language: English
• ISBN 10: 0792330056
• ISBN 13: 9780792330059
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 37D millimeters 241 millimeters width by 160 millimeters height by 37 millimeters depth
• Weight: 1021 grams

About this title

Synopsis

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.

Review

`The proceedings are recommended for those who are interested in complex function theory, potential theory, interpolation and approximation theory and related domains.'
Acta Sci. Mathematica (1995)