Beurling-Pollard type theorems

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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.
15 pages

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Functional Analysis, Operator Algebras, 47L05; 47A62; 47B47; 43A45

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http://salesiana.dossiersoluciones.com/handle/123456789/76002

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508165
 http://arxiv.org/abs/math/0508165

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arXiv