Uniform convergence of spectral expansions on the entire real line for general even-order differential operators

DOI10.1134/S0012266120040035OpenAlexW3021554068MaRDI QIDQ2185102

Leonid V. Kritskov

Publication date: 4 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120040035

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05)

Cites Work

• Differential operators of even order with distribution coefficients
• On the equiconvergence of expansions by Riesz bases formed by eigenfunctions of a linear differential operator of order 2n
• Functional analysis - 4
• Equiconvergence theorems for differential operators
• Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution
• Classes of uniform convergence of spectral expansions for the one-dimensional Schrödinger operator with a distribution potential
• A new estimate for the spectral function of the self-adjoint extension in \(L^{2}(\mathbb R)\) of the Sturm-Liouville operator with a uniformly locally integrable potential
• Operator Theory
• The equiconvergence problem for a one-dimensional Schrödinger operator with a uniformly locally integrable potential
• Estimates on generalized eigenfunctions of two-term differential operator of even order
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