Singular soliton operators and indefinite metrics

DOI10.1007/s00574-013-0035-5zbMath1319.34153arXiv1103.2505OpenAlexW2963276441MaRDI QIDQ2015845

S. P. Novikov, Petr G. Grinevich

Publication date: 24 June 2014

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2505

zbMATH Keywords

indefinite inner productsingular finite-gap potentialssingular Schrödinger operatorPontryagin-Sobolev spaces

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Lamé, Mathieu, and spheroidal wave functions (33E10) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

Complex exceptional orthogonal polynomials and quasi-invariance ⋮ Moutard transform approach to generalized analytic functions with contour poles ⋮ Singular solitons and spectral meromorphy

Cites Work

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