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Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential - MaRDI portal

Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential (Q2185381)

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Language	Label	Description	Also known as
English	Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential	scientific article

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scholarly article

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Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential (English)

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Differential Equations

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publication date

4 June 2020

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MaRDI profile type

MaRDI publication profile

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Bessel inequality, Riesz theorem, and unconditional basis property for root vectors of ordinary differential operators

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On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. I

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On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. II

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A theorem on equivalent bases for differential operators

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

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On an analog of the Riesz theorem and the basis property of the system of root functions of a differential operator in \(L_p\). II

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Properties in L p of root functions for a nonlocal problem with involution

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Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion

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Absolute and uniform convergence of expansions in the root vector functions of the Dirac operator

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

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Two-sided estimates for root vector functions of the Dirac operator

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Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems

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Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions

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The Dirac operator with complex-valued summable potential

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The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential

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On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems

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On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators

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Bari-Markus property for Dirac operators

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full work available at URL

https://doi.org/10.1134/s0012266120050031

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Identifiers

zbMATH Open document ID

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10.1134/S0012266120050031

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2185381

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