Accession Number : AD0622839

Title :   TRANSMISSION PROBLEMS FOR HOLOMORPHIC FIBER BUNDLES,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF MATHEMATICS

Personal Author(s) : Rohrl,H.

Report Date : 15 JUN 1964

Pagination or Media Count : 33

Abstract : Transmission problems for holomorphic fiber bundles in high-dimensional complex spaces are considered. Topological preparations pertaining to the notion of boundary values on a hypersurface by approach from various sides are first carried out. Certain analytic preparations are made, which are mainly concerned with holomorphic bundles of complex Lie groups acting on holomorphic fiber bundles. The transmission problems are then stated. To each holomorphically correct transmission function, a holomorphic fiber bundle is constructed such that the set of solutions of the transmission problem corresponds bijectively to the set of holomorphic section in the fiber bundle. Topologically correct transmission functions are discussed and related to homology theory. Holomorphically correct transmission functions are then considered.

Descriptors :   (*ALGEBRAIC TOPOLOGY, FUNCTIONS(MATHEMATICS)), (*COMPLEX VARIABLES, ALGEBRAIC TOPOLOGY), (*FUNCTIONS(MATHEMATICS), ALGEBRAIC TOPOLOGY), BOUNDARY VALUE PROBLEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE