Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints

DOI10.1007/978-3-031-39270-2_5arXiv1510.02635MaRDI QIDQ6195418

Matthias Langer, Harald Woracek

Publication date: 13 March 2024

Published in: Function Spaces, Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02635

zbMATH Keywords

Sturm-Liouville equationcanonical systemsingular potentialde Branges spacePontryagin spacedirect and inverse spectral theorems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Linear operators on spaces with an indefinite metric (47B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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