Complex potential theory
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Author
Contributions
- Gauthier, Paul M. - Contributor
- Sabidussi, Gert. - Contributor
- NATO Advanced Study Institute and Séminaire de mathématiques supérieures on Complex Potential Theory (1993 : Montréal, Québec) - Contributor
Publication
1994 - Kluwer Academic, Dordrecht
Language
English
Word Count
138,000 words, Guess
Page Count
552 pages
Identifiers
- Open LibraryOL1102748M
- ISBN-100792330056
- OCLC Control Number30733917
- Library of Congress Control Number94027707
- Goodreads4019326
Classifications
- DDC515/.9
- LCCQA404.7 .C66 1994
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.
Subjects
Topics
Series Statement
- NATO ASI series. Series C, Mathematical and physical sciences ;
Other Editions
- Complex potential theory
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