Accession Number : AD0669260
Title : THE CLASS OF K-FUNCTIONS ON RIEMANNIAN SPACES.
Descriptive Note : Technical rept.,
Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS
Personal Author(s) : Councilman,Samuel G.
Report Date : APR 1968
Pagination or Media Count : 83
Abstract : The class of harmonic functions on a Riemannian n-space which have vanishing flux across all dividing (n-1)-cycles is considered. The tools employed are normal operators, principal functions, and the Main Existence Theorem, all introduced in earlier work of L. Sario. The results constitute an extension to general Riemannian spaces, of arbitrary dimension N = or > 2, of properties known for such a class of functions on a Riemann surface. (Author)
Descriptors : (*ALGEBRAIC TOPOLOGY, POTENTIAL THEORY), OPERATORS(MATHEMATICS), INTEGRAL EQUATIONS, SET THEORY, GREEN'S FUNCTION, THEOREMS, THESES
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE