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- W2963197944 abstract "For a compactly generated LCA group $G$, it is shown that the set $H(G)$ of all generalized characters on $G$ equipped with the compact-open topology is a LCA group and $H(G) = dg$ (the dual group of $G$) if and only if $G$ is compact. Both results fail for arbitrary LCA groups. Further, if $G$ is second countable, then the Gel'fand space of the commutative convolution algebra $ccg$ equipped with the inductive limit topology is topologically homeomorphic to $hg$." @default.
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- W2963197944 date "2005-12-14" @default.
- W2963197944 modified "2023-09-27" @default.
- W2963197944 title "A note on generalized characters" @default.
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