A new interpolation formula for the Titchmarsh-Weyl $m$-function
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- by Alexei Rybkin and Vu Kim Tuan PDF
- Proc. Amer. Math. Soc. 137 (2009), 4177-4185 Request permission
Abstract:
For the Titchmarsh-Weyl $m$-function of the half-line Schrödinger operator with Dirichlet boundary conditions we put forward a new interpolation formula which allows one to reconstruct the $m$-function from its values on a certain infinite set of points for a broad class of potentials.References
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Additional Information
- Alexei Rybkin
- Affiliation: Department of Mathematics and Statistics, University of Alaska Fairbanks, P.O. Box 756660, Fairbanks, Alaska 99775
- Email: ffavr@uaf.edu
- Vu Kim Tuan
- Affiliation: Department of Mathematics, University of West Georgia, Carrollton, Georgia 30118
- Email: vu@westga.edu
- Received by editor(s): October 28, 2008
- Received by editor(s) in revised form: April 2, 2009
- Published electronically: June 25, 2009
- Additional Notes: This research was supported in part by the U.S. National Science Foundation under grant DMS 070747
- Communicated by: Nigel J. Kalton
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 4177-4185
- MSC (2000): Primary 47E05, 65D05
- DOI: https://doi.org/10.1090/S0002-9939-09-09983-3
- MathSciNet review: 2538578