Krein's strings with singular left boundary
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Publication:1002133
DOI10.1016/S0034-4877(07)80067-XzbMath1166.34053MaRDI QIDQ1002133
Publication date: 24 February 2009
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
Related Items (13)
Diffusions with Bessel-like drifts. II ⋮ The inverse spectral problem for indefinite strings ⋮ A unifying approach to non-minimal quasi-stationary distributions for one-dimensional diffusions ⋮ Krein's strings whose spectral functions are of polynomial growth ⋮ Parameterization of the extrapolations in the Kreĭn-Schwartz theorem and the entropy maximizer: the scalar case ⋮ Diffusions with Bessel-like drifts ⋮ Spectral function of Krein's and Kotani's string in the class \(\Gamma\) ⋮ Asymptotic behavior of spectral measures of Krein's and Kotani's strings ⋮ Time change approach to generalized excursion measures, and its application to limit theorems ⋮ Asymptotic behavior of the transition density of an ergodic linear diffusion ⋮ On h-Transforms of One-Dimensional Diffusions Stopped upon Hitting Zero ⋮ Remarks on Krein-Kotani's correspondence between strings and Herglotz functions ⋮ Fluctuation scaling limits for positive recurrent jumping-in diffusions with small jumps
Cites Work
- Excursion measure away from an exit boundary of one-dimensional diffusion processes
- On a generalized Sturm-Liouville operator with a singular boundary
- A remark to the ordering theorem of L. de Branges
- Brownian representation of a class of Lévy processes and its application to occupation times of diffusion processes
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