Complex Potential Theory (Nato Science Series C:, 439) by Gert Sabidussi (PDF)

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    Ebook Info

    • Published: 2012
    • Number of pages: 571 pages
    • Format: PDF
    • File Size: 7.61 MB
    • Authors: Gert Sabidussi

    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.

    User’s Reviews

    Editorial Reviews: 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)

    Reviews from Amazon users which were colected at the time this book was published on the website:

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