Complex Potential Theory (NATO Science Series C: #439) (Paperback)

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By Paul M. Gauthier (Editor), Gert Sabidussi (Other)
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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, H non 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.
Product Details
ISBN: 9789401044035
ISBN-10: 9401044031
Publisher: Springer
Publication Date: October 14th, 2012
Pages: 552
Language: English
Series: NATO Science Series C: