On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system

DOI10.3103/S1068362313040018zbMath1315.34089MaRDI QIDQ2439849

Rafayel Barkhudaryan

Publication date: 17 March 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Gibbs phenomenonDirac systemexpansions by eigenfunctions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

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• Localization and convergence of eigenfunction expansions
• Discontinuities in Dirac eigenfunction expansions
• Convergence of expansions in Schrödinger and Dirac eigenfunctions, with an application to the R-matrix theory
• On the Gibbs' Phenomenon in a Certain Eigenfunction Series
• Asymptotic behavior of Eckhoff’s method for Fourier series convergence acceleration
• Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions
• THE GIBBS PHENOMENON, THE PINSKY PHENOMENON, AND VARIANTS FOR EIGENFUNCTION EXPANSIONS
• NUMERICAL ANALYSIS ON THE SIERPINSKI GASKET, WITH APPLICATIONS TO SCHRÖDINGER EQUATIONS, WAVE EQUATION, AND GIBBS' PHENOMENON
• Convergence Acceleration of Eigenfunction Expansions of the One-Dimensional Dirac System

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