Some properties of eigenfunctions of linear pencils

DOI10.1007/BF00971759zbMath0759.47013OpenAlexW2069521763MaRDI QIDQ1812734

Sergei G. Pyatkov

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971759

zbMATH Keywords

Riesz basisweighted Sobolev spacesselfadjoint operatorspectral problemsymmetric operatorinterpolation scale of Hilbert spacesnormalized eigenfunctions of the eigenvalue problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05) Abstract interpolation of topological vector spaces (46M35) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (10)

The similarity problem for \(J\)-nonnegative Sturm-Liouville operators ⋮ On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ A certain ill-posed Cauchy problem for first-order and second-order differential equations with operator coefficients ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions ⋮ Indefinite elliptic spectral problems ⋮ On solvability of boundary value problems for kinetic operator-differential equations ⋮ Sturm–Liouville problems with indefinite weights and Everitt's inequality ⋮ Non-semibounded sesquilinear forms and left-indefinite Sturm-Liouville problems

Cites Work

• Spectral methods in linear transport theory
• Internal and external metrics for a perfect fluid cylinder in general relativity
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