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 geometric-group 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 Klein-Gordon 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