Accession Number : AD0670970

Title :   ROYDEN'S COMPACTIFICATION OF RIEMANNIAN SPACES.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Chang,John S. M.

Report Date : APR 1968

Pagination or Media Count : 78

Abstract : Royden's compactification R* of a noncompact Riemannian space R is constructed and properties of HBD- and HD-functions on R are investigated. The tools employed are weak* topology and Riesz representation theorem, all introduced in earlier work of H. Royden and M. Nakai. The results constitute an extension to general Riemannian spaces, of arbitrary dimension n > 2, of properties known for such classes of functions on a Riemann surface. (Author)

Descriptors :   (*ALGEBRAIC TOPOLOGY, THEOREMS), POTENTIAL THEORY, FUNCTIONAL ANALYSIS, MEASURE THEORY, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE