On bases of sines and cosines in Sobolev spaces

In this work, perturbed systems of sines and cosines are considered. A method for establishing basicity of these systems in the Sobolev spaces W p 1 is suggested. Therein, specific conditions are not imposed on the perturbation; the basicities of the systems under consideration in the Lebesgue space...

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Bibliographic Details
Published in:Applied mathematics letters 2012-03, Vol.25 (3), p.275-278
Main Authors: Huseynov, Z.G., Shykhammedov, A.M.
Format: Article
Language:English
Subjects:
A system of sines and cosines
Basicity
Mathematical analysis
Perturbation methods
Sobolev space
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Summary:In this work, perturbed systems of sines and cosines are considered. A method for establishing basicity of these systems in the Sobolev spaces W p 1 is suggested. Therein, specific conditions are not imposed on the perturbation; the basicities of the systems under consideration in the Lebesgue space L p are used.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.08.026