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Weighted algebras of integrable functions

Ward, J.A. (1982) Weighted algebras of integrable functions. Results in Mathematics, 5 (1-2). pp. 199-207.

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Let G denote a compact abelian group with discrete dual group X, and let ω be a complex-valued function defined on X. For any subspace B of L1(G), Bω denotes the set of those elements b of B for which bω is an element of l1(X). The question considered in this paper is “when is Bω an algebra under pointwise multiplication?”

Publication Type: Journal Article
Publisher: Birkhauser Verlag Basel
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