Research Highlights

Vector valued Beurling algebra analogues of Wiener’s theorem

Authors :- Dabhi P.A.; Solanki K.B.

Publication :- Indian Journal of Pure and Applied Mathematics (Springer) 2025

Let , be a weight on , and let be a unital Banach algebra. If f is a continuous function from the unit circle to such that and f(z) is left invertible for all , then there is a weight on and a continuous function such that , is constant if and only if is constant, is admissible if and only if is admissible, g is a left inverse of f and . We shall obtain a similar result when is a p-almost monotone algebra weight and . We shall obtain an analogue of this result on the real line.