Beurling-Pollard type theorems

Details Beurling-Pollard type theorems Beurling-Pollard type theorems

2005-08-09

arxiv.org/abs/math/0508165v1

Mathematics

Functional Analysis

15 pages

Scientific paper

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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