Inverse uniqueness results for Schrödinger operators using de Branges theory

DOI10.1007/s11785-012-0265-3zbMath1307.34029arXiv1105.6355OpenAlexW3098459205MaRDI QIDQ403677

Jonathan Eckhardt

Publication date: 29 August 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.6355

zbMATH Keywords

Schrödinger operatorsstrongly singular potentialsde Branges 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) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Inverse problems involving ordinary differential equations (34A55)

Related Items (11)

de Branges Spaces and Kreĭn’s Theory of Entire Operators ⋮ Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ A class of \({n}\)-entire Schrödinger operators ⋮ Singular Schrödinger operators as self-adjoint extensions of 𝑁-entire operators ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ Inverse spectral problems for Bessel operators with interior transmission conditions ⋮ On spectral deformations and singular Weyl functions for one-dimensional Dirac operators ⋮ Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra ⋮ Inverse spectral problems for radial Schrödinger operators and closed systems

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