Geodesic
Regularity of group algebras
Sbornik. Mathematics, Tome 200 (2009) no. 8, pp. 1165-1179 Cet article a éte moissonné depuis la source Math-Net.Ru

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A Carleman-type test for the Shilov regularity of weighted $\mathscr L^p$-algebras (with convolution as multiplication) on groups is extended to wider classes of Banach algebras of measurable functions on locally compact Abelian groups. Only simplest analytic methods and general algebraic ideas are used. In conclusion several questions are posed. Bibliography: 18 titles.
Keywords: Banach algebras, spectrum, locally compact Abelian groups. 
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E. A. Gorin. Regularity of group algebras. Sbornik. Mathematics, Tome 200 (2009) no. 8, pp. 1165-1179. http://geodesic.mathdoc.fr/item/SM_2009_200_8_a3/

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