\(L_\mu\to L_\nu\) equiconvergence of spectral decompositions for a Dirac system with \(L_\kappa\) potential

DOI10.1134/S1064562416020307zbMath1353.47089arXiv1512.02021MaRDI QIDQ2631215

I. V. Sadovnichaya

Publication date: 29 July 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02021

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (2)

Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data

Cites Work

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• The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited
• Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system
• Functional analysis - 4
• Equiconvergence of eigenfunction expansions for Sturm-Liouville operators with a distributional potential
• Riesz bases consisting of root functions of 1D Dirac operators
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• The local convergence of biorthogonal series related to differential operators with nonsmooth coefficients. II

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