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Beurling–Pollard type theorems
Author(s) -
Shulman Victor,
Turowska Lyudmila
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm009
Subject(s) - mathematics , type (biology) , pure mathematics , scalar (mathematics) , operator (biology) , algebra over a field , ecology , biochemistry , chemistry , geometry , repressor , gene , transcription factor , biology
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. In addition, 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.