Title

On a Classical Theorem of Potential Theory in the Complex Plane

Document Type

Presentation

Presentation Date

9-21-2010

Conference Name

University of South Alabama Analysis Seminar

Conference Location

Mobile, AL, USA

Peer Review

Invited

Abstract

We shall provide the detailed proof of the fundamental theorem in classical potential theory in the plane, that the capacity of a compact set, its transfinite diameter, and the Chebyshev constant are all equal (the theorem was introduced in my colloquium talk last Thursday). Certain applications will be provided.

Keywords

logarithmic capacity, Fekete points, transfinite diameter, Chebyshev constant

Disciplines

Analysis | Mathematics

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