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- W2324451860 abstract "Abstract We investigate the spectral theory of integrable actions of a locally compact abelian group on a locally convex vector space. We start with an analysis of various spectral subspaces induced by the action of the group. This is applied to analyse the spectral theory of operators on the space, generated by measures on the group. We apply these results to derive general Tauberian theorems that apply to arbitrary locally compact abelian groups acting on a large class of locally convex vector spaces, which includes Fréchet spaces. We show how these theorems simplify the derivation of Mean Ergodic theorems." @default.
- W2324451860 created "2016-06-24" @default.
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- W2324451860 date "2013-02-25" @default.
- W2324451860 modified "2023-09-26" @default.
- W2324451860 title "TAUBERIAN THEOREMS AND SPECTRAL THEORY IN TOPOLOGICAL VECTOR SPACES" @default.
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- W2324451860 doi "https://doi.org/10.1017/s0017089512000699" @default.
- W2324451860 hasPublicationYear "2013" @default.
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