Unconditional basis property of the system of root functions of a differential operator with integral boundary conditions

DOI10.1134/S0012266119060065zbMath1447.34076OpenAlexW2960862656WikidataQ127498532 ScholiaQ127498532MaRDI QIDQ2332103

I. S. Lomov

Publication date: 1 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119060065

zbMATH Keywords

Bessel inequalityroot functionsunconditional basis propertyRiesz basis property theorem

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Bessel property of nonorthogonal systems of cylinder functions

Cites Work

• Integral representations of irregular root functions of loaded second-order differential operators
• The development of general differential and general differential-boundary systems
• Estimates of root functions of the adjoint of a second-order differential operator with integral boundary conditions
• Estimates of Speed of Convergence and Equiconvergence of Spectral Decomposition of Ordinary Differential Operators
• The Bessel inequality and the basis property of root functions of a second-order singular differential operator
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