arXiv · math/0508165
Beurling-Pollard type theorems
Abstract
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.
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Victor Shulman, Lyudmila Turowska. 2005-08-09. Beurling-Pollard type theorems. https://arxiv.org/abs/math/0508165
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