Accession Number:

AD0636991

Title:

MATERIAL SYMMETRY RESTRICTIONS FOR CERTAIN LOCALLY COMPACT SYMMETRY GROUPS.

Descriptive Note:

Technical rept.

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1965-07-01

Pagination or Media Count:

35.0

Abstract:

For compact symmetry groups, Wineman and Pipkin have shown that the canonical forms obtained for form-invariant polynomials apply to all form-invariant functions. By a topological ergodic theorem, we construct a group average for bounded representations of those locally compact groups we call mean-ergodic, and for these groups thereby show that the form-invariant polynomials are dense among the form-invariant continuous functions. For representations with closed S-orbits we can characterize all invariant functions, and for Lindelof such groups we can characterize all form-invariant functions, thereby showing again under broader hypotheses that integrity bases are functional bases. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE