TRANSMISSION PROBLEMS FOR HOLOMORPHIC FIBER BUNDLES,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 15, 1964
- Accession Number
- AD0622839
Entities
People
- H. Rohrl
Organizations
- University of Minnesota