On the equiconvergence of eigenfunction expansions associated with ordinary linear differential operators

DOI10.1007/BF01949149zbMath0609.34026MaRDI QIDQ1086726

Vilmos Komornik

Publication date: 1986

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

zbMATH Keywords

Fourier seriesRiesz basescomplex eigenvalueseigenfunction expansionsCarleson's theorem

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items (4)

Stabilization of the linearized water tank system ⋮ On the convergence of eigenfunction expansions ⋮ On the divergence of some function series ⋮ On the summation of some expansions

Cites Work

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• On the distribution of the eigenvalues of an orthonormal system, consisting of eigenfunctions of higher order of a linear differential operator
• On the equiconvergence of expansions by Riesz bases formed by eigenfunctions of a linear differential operator of order 2n
• An equiconvergence theorem for the Schrödinger operator
• Some new estimates for the eigenfunctions of higher order of a linear differential operator
• Lower estimates for the eigenfunctions of a linear differential operator
• The Brauer-Manin Obstruction and III[2]

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