Complex analysis and potential theory

Contributor(s): Boivin, Andre | Mashreghi, JavadMaterial type: Computer fileComputer fileSeries: CRM Proceedings and Lecture Notes ; v. 55Description: 1 online resource (xi, 329 pages : illustrations)ISBN: 9781470415891 (online)Subject(s): Functions of a complex variable | Functions of complex variables | Potential theory (Mathematics) | Potential theoryOnline resources: Click here to access online
Contents:
A self-contained proof of the strong-type capacitary inequality for the Dirichlet space ; A simple numerical approach to the Riemann hypothesis ; A survey of linear extremal problems in analytic function spaces ; A unifying construction for measure-valued continuous and discrete branching processes ; Compactifications of the plane and extensions of the disc algebra ; Examples of quantitative universal approximation ; Harmonic mappings with quadrilateral image ; Hartogs phenomenon on unbounded domains -- Conjectures and examples ; Integration formulae and kernels in singular subvarieties of
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electronic book electronic book
Link to resource Accessible Online EBK20998
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Includes bibliographical references.

A self-contained proof of the strong-type capacitary inequality for the Dirichlet space ; A simple numerical approach to the Riemann hypothesis ; A survey of linear extremal problems in analytic function spaces ; A unifying construction for measure-valued continuous and discrete branching processes ; Compactifications of the plane and extensions of the disc algebra ; Examples of quantitative universal approximation ; Harmonic mappings with quadrilateral image ; Hartogs phenomenon on unbounded domains -- Conjectures and examples ; Integration formulae and kernels in singular subvarieties of mathbb C^n ; Invariant potential theory, derivatives of inner functions, and ^p,q spaces in the unit ball of mathbb C^n ; Logarithmic Holder estimates of harmonic extension operators in a metric measure space ; Meromorphic approximation on noncompact Riemann surfaces ; On a family of outer functions ; On ^m subharmonic extension sets of Walsh-type ; On maximal plurisubharmonic functions ; On universality of series in Banach spaces ; Orlicz capacity of balls ; Potential analysis on nonsmooth domains -- Martin boundary and boundary Harnack principle ; Potential theory on trees and mutliplication operators ; Recent progress on fine differentiability and fine harmonicity ; Reversibility questions in groups arising in analysis ; Subordinate harmonic structures in an infinite network ; The generalized binomial theorem ; Uniform and ^m approximation by polyanalytic polynomials

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