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Wiener Tauberian theorems for vector-valued functions

Wiener Tauberian theorems for vector-valued functions

Different versions of Wiener′s Tauberian theorem are discussed for the generalized group algebra L 1 ( 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 …