Riesz inequality for systems of root vector functions of the Dirac operator

DOI10.1134/S0012266112030044zbMath1264.47049MaRDI QIDQ443982

A. I. Ismailova, V. M. Kurbanov

Publication date: 13 August 2012

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorRiesz inequality

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) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential ⋮ On the properties of the root vector function systems of a \(2m\)th-order Dirac type operator with an integrable potential ⋮ On the Riesz inequality and the basis property of systems of root vector functions of a discontinuous Dirac operator ⋮ Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient

Cites Work

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• On the Bessel property of systems of root functions of a differential operator.
• A generalized Bessel inequality for ordinary differential operators with nonsmooth coefficients and a generalization of the Riesz theorem

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