GREEN'S LINES AND HD-FUNCTIONS IN RIEMANNIAN SPACES.

Abstract

In this work we define and investigate (HD)tilde-functions and Green's lines on the Royden compactification R* of a noncompact Riemannian space R. Integral representations are given of (HD)tilde-functions over the harmonic boundary delta, characterizations of a degenerate surface class U sub (HD)tilde in terms of the existence of a point in delta of positive harmonic measure, and of Green's lines. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0685812

Entities

People

  • I-hsiung Lin

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Boundaries
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space