
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 forminvariant polynomials apply to all forminvariant functions. By a topological ergodic theorem, we construct a group average for bounded representations of those locally compact groups we call meanergodic, and for these groups thereby show that the forminvariant polynomials are dense among the forminvariant continuous functions. For representations with closed Sorbits we can characterize all invariant functions, and for Lindelof such groups we can characterize all forminvariant 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