On the double commutation method
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- by F. Gesztesy and G. Teschl
- Proc. Amer. Math. Soc. 124 (1996), 1831-1840
- DOI: https://doi.org/10.1090/S0002-9939-96-03299-6
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Abstract:
We provide a complete spectral characterization of the double commutation method for general Sturm-Liouville operators which inserts any finite number of prescribed eigenvalues into spectral gaps of a given background operator. Moreover, we explicitly determine the transformation operator which links the background operator to its doubly commuted version (resulting in extensions and considerably simplified proofs of spectral results even for the special case of Schrödinger-type operators).References
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Bibliographic Information
- F. Gesztesy
- Affiliation: Department of Mathematics, University of Missouri, Colum-bia, Missouri 65211
- MR Author ID: 72880
- Email: mathfg@mizzou1.missouri.edu
- G. Teschl
- Affiliation: Department of Theoretical Physics, Technical University of Graz, Graz, 8010, Austria
- Address at time of publication: Institut für Reine und Angewandte Mathematik, Rheinisch-Westfälische Technische Hochschule Aachen, D-52056 Aachen, Germany
- Email: mathgr42@mizzou1.missouri.edu, teschl@iram.rwth-aachen.de
- Received by editor(s): December 8, 1994
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1831-1840
- MSC (1991): Primary 34B24, 34L05; Secondary 34B20, 47A10
- DOI: https://doi.org/10.1090/S0002-9939-96-03299-6
- MathSciNet review: 1322925