Mustafayev, HeybetkuluTopal, Hayri2025-05-102025-05-1020191300-00981303-614910.3906/mat-1812-1102-s2.0-85067356359https://doi.org/10.3906/mat-1812-110https://hdl.handle.net/20.500.14720/15879A commutative semisimple regular Banach algebra Sigma(A) with the Gelfand space Sigma(A) is called a Ditkin algebra if each point of Sigma(A) boolean OR {infinity} is a set of synthesis for A. Generalizing the Choquet-Deny theorem, it is shown that if T is a multiplier of a Ditkin algebra A, then {phi is an element of A* : T* phi = phi} is finite dimensional if and only if card F-T is finite, where F-T = {gamma is an element of Sigma(A) : (T) over cap (gamma) = 1} and (T) over cap is the Helgason-Wang representation of T.eninfo:eu-repo/semantics/openAccessCommutative Banach AlgebraMultiplierChoquet-Deny TheoremArticle433Q2Q217211729337124WOS:000475501700046