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

DOI10.1007/S10625-005-0183-5zbMath1092.34041OpenAlexW2079011410MaRDI QIDQ2577306

Yanyan Li

Publication date: 19 December 2005

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

Full work available at URL: https://doi.org/10.1007/s10625-005-0183-5

zbMATH Keywords

unconditional basis propertyassociated functionCarleman conditionMoiseev mean value

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (8)

Analog of the Riesz theorem and the basis property in \(L_p\) of a system of root functions of a differential operator. I ⋮ 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 ⋮ Unnamed Item ⋮ The Bessel and Hilbert properties for root functions of second-order ordinary differential operators with the Carleman condition violated ⋮ Convergence of the spectral expansion in the eigenfunctions of a fourth-order differential operator ⋮ Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient ⋮ Conditions for the absolute and uniform convergence of the biorthogonal series corresponding to a differential operator

Cites Work

• Unnamed Item
• On the distribution of the eigenvalues of an orthonormal system, consisting of eigenfunctions of higher order of a linear differential operator

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