On bases of sines and cosines in Sobolev spaces

DOI10.1016/j.aml.2011.08.026zbMath1248.46027OpenAlexW2058902129MaRDI QIDQ427583

A. M. Shykhammedov, Z. G. Huseynov

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.08.026

zbMATH Keywords

Sobolev spaceSchauder basissystem of sines and cosines

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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Cites Work

• On exponential bases for the Sobolev spaces over an interval
• On the basis of some systems of exponentials, cosines and sines in \(L_ p\).
• Approximate properties of systems of exponents in the Sobolev spaces
• Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators
• Inverse spectral problems and closed exponential systems
• Riesz bases of solutions of Sturm-Liouville equations
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