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Complex Potential Theory (Nato Science Series C:)

Springer

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ISBN 10: 9401044031 / ISBN 13: 9789401044035
Published by Springer, 2012
Condition: Good Soft cover
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Bibliographic Details

Title: Complex Potential Theory (Nato Science ...

Publisher: Springer

Publication Date: 2012

Binding: Paperback

Book Condition: Good

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)

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