Extremal Positive Pluriharmonic Functions on Euclidean Balls (PREPRINT)

Abstract

Contrary to the well understood structure of positive harmonic functions in the unit disk, most of the properties of positive pluriharmonic functions in symmetric domains of Cn, in particular the unit ball, remain mysterious. In particular, in spite of efforts spread over quite a few decades, no characterization of the extremal rays in the cone of positive pluriharmonic functions in the unit ball of Cn is known. We investigate this question by a geometric tomography technique, and provide some new classes of examples of such extremal functions.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2007
Accession Number
ADA478589

Entities

People

  • Farhad Jafari
  • Mihai Putinar

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Complex Variables
  • Decomposition
  • Electronic Mail
  • Identities
  • Information Operations
  • Integrals
  • Invariance
  • Mathematics
  • Potential Theory
  • Probability
  • Rational Functions
  • Theorems
  • Tomography
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Naval Engineering and Maritime Security
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).