Indefinite Sturm-Liouville operators (sgn x)(-d2/dx2+q(x)) with finite-zone potentials

DOI10.7153/oam-01-20zbMath1146.47032arXivmath/0610087OpenAlexW2964080230MaRDI QIDQ5431903

Mark M. Malamud, Illya M. Karabash

Publication date: 2 January 2008

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610087

zbMATH Keywords

characteristic functionssimilaritySturm-Liouville operatorindefinite weightnon-selfadjoint operator\(J\)-selfadjoint operatoralgebraic and geometric multiplicities of an eigenvalue

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear operators on spaces with an indefinite metric (47B50) Boundary eigenvalue problems for ordinary differential equations (34B09)

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