The use of anti-a priori estimates in the theory of bases in the space \(L_2\)

DOI10.1134/S0012266108050108zbMath1194.34155OpenAlexW2037277252MaRDI QIDQ1000127

Abdizhakhan M. Sarsenbi, Makhmud A. Sadybekov

Publication date: 4 February 2009

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

Full work available at URL: https://doi.org/10.1134/s0012266108050108

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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Riesz basis property of system of root functions of second-order differential operator with involution ⋮ Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x) ⋮ Unnamed Item ⋮ Biorthogonal expansions in root functions of differential operators ⋮ Well-posedness of a parabolic equation with nonlocal boundary condition ⋮ Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions

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