Study of spectral properties of a loaded second-order differential operator

Study of spectral properties of a loaded second-order differential operator

For a loaded second-order differential operator on a finite interval of the real line, we estimate the equiconvergence rate of the spectral expansion of a function with the trigonometric Fourier series expansion of the same function both on an interior compact set and on the entire interval.

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Veröffentlicht in:Differential equations 2015-07, Vol.51 (7), p.857-861
Hauptverfasser: Lomov, I. S., Chernov, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Difference and Functional Equations
Differential equations
Eigenvalues
Estimates
Fourier analysis
Fourier series
Intervals
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Ordinary Differential Equations
Partial Differential Equations
Spectra
Spectral lines
Studies
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Beschreibung
Zusammenfassung:For a loaded second-order differential operator on a finite interval of the real line, we estimate the equiconvergence rate of the spectral expansion of a function with the trigonometric Fourier series expansion of the same function both on an interior compact set and on the entire interval.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115070046