On the equiconvergence of expansions by Riesz bases formed by eigenfunctions of a linear differential operator of order 2n

DOI10.1007/BF01950285zbMath0563.34024OpenAlexW2084954623MaRDI QIDQ1057414

Vilmos Komornik

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01950285

zbMATH Keywords

Riesz basisorthonormal Legendre system

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Ordinary differential operators (34L99)

Related Items

On the equiconvergence of eigenfunction expansions associated with ordinary linear differential operators ⋮ Uniform convergence of spectral expansions on the entire real line for general even-order differential operators ⋮ Estimates on generalized eigenfunctions of two-term differential operator of even order ⋮ Some new estimates for the eigenfunctions of higher order of a linear differential operator

Cites Work

• On the distribution of the eigenvalues of an orthonormal system, consisting of eigenfunctions of higher order of a linear differential operator
• An equiconvergence theorem for the Schrödinger operator
• The Brauer-Manin Obstruction and III[2]
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