2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76002We establish a version of the Beurling-Pollard theorem for operator synthesis and apply it to derive some results on linear operator equations and to prove a Beurling-Pollard type theorem for Varopoulos tensor algebras. Additionally we establish a Beurling-Pollard theorem for weighted Fourier algebras and use it to obtain ascent estimates for operators that are functions of generalized scalar operators.15 pagesFunctional AnalysisOperator Algebras47L05; 47A62; 47B47; 43A45text