期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1994
卷号：17
DOI：10.1155/S0161171294000694
出版社：Hindawi Publishing Corporation
摘要：Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued Fourier transforms. A weak form of Wiener's Tauberian property is introduced and it is proved that L1(G,A) is weakly Tauberian if and only if A is. The vector analogue of Wiener's L2-span of translates theorem is examined.
