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