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) : Lew,John S.

Report Date : JUL 1965

Pagination or Media Count : 35

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)

Descriptors :   (*MEASURE THEORY, *GROUPS(MATHEMATICS)), TOPOLOGY, FUNCTIONS(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE