Analog of the Riesz theorem and the basis property in \(L_p\) of a system of root functions of a differential operator. I

DOI10.1134/S0012266113010023zbMath1279.34094MaRDI QIDQ354509

Mohammad Hasan, M. Dambrine

Publication date: 19 July 2013

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

zbMATH Keywords

root functionsordinary differential operatorRiesz theorem

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

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Cites Work

• On the Bessel property of systems of root functions of a differential operator.
• On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. I
• On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. II
• Equiconvergence of biorthogonal expansions in root functions of differential operators. II
• A generalized Bessel inequality for ordinary differential operators with nonsmooth coefficients and a generalization of the Riesz theorem
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