
Accession Number : AD0706101
Title : GEOMETRIC IDEAS IN LIE GROUP HARMONIC ANALYSIS THEORY.
Descriptive Note : Technical rept.,
Corporate Author : INSTITUTE FOR ADVANCED STUDY PRINCETON N J
Personal Author(s) : Hermann,Robert
Report Date : APR 1970
Pagination or Media Count : 83
Abstract : Some underlying geometricgroup theoretic principles are developed that have a wide applicability to problems in group representation theory and mathematical physics. Applications are presented to such topics as: Asymptotic behavior of group representation matrix elements; generalized functions on manifold; contraction of the Poincare to the Gibleon group; generalized function solutions of the KleinGordon equation; and rapidly decreasing functions on manifolds and Lie groups. (Author)
Descriptors : (*DIFFERENTIAL GEOMETRY, *GROUPS(MATHEMATICS)), (*HARMONIC ANALYSIS, FUNCTIONS(MATHEMATICS)), VECTOR SPACES, HILBERT SPACE, ALGEBRAS, TOPOLOGY, THEOREMS
Subject Categories : Theoretical Mathematics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE