GEOMETRIC IDEAS IN LIE GROUP HARMONIC ANALYSIS THEORY.

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0706101

Entities

People

  • Robert Hermann

Organizations

  • Institute for Advanced Study

Tags

DTIC Thesaurus Topics

  • Differential Geometry
  • Equations
  • Harmonic Analysis
  • Lie Groups
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.