Complex Potential Theory:
Saved in:
Bibliographic Details
Main Author: Gauthier, Paul M. (Author)
Format: Electronic eBook
Language:English
Published: Dordrecht Springer Netherlands 1994
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences 439
Subjects:
Online Access:FWS01
FWS02
Item Description: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
Physical Description:1 Online-Ressource (XIX, 552 p)
ISBN:9789401109345
ISSN:1389-2185