2005/08/09 by Victor S. Shulman, Victor Shulman, Shulman, Victor +2
Mathematics · #43A45 #47A62 #47B47 #47L05 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.FA #math.OA #msc:43A45 #msc:47A62 #msc:47B47 #msc:47L05
paper · pdf · doi:10.48550/arxiv.math/0508165
15 pages
arxiv created 2005/08/09 · openalex publication_date 2005/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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.