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:

1968-04-01

Pagination or Media Count:

83.0

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