A new interpolation formula for the Titchmarsh-Weyl 
-function
Authors:
Alexei Rybkin and Vu Kim Tuan
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
Published electronically:
June 25, 2009
MathSciNet review:
2538578
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: For the Titchmarsh-Weyl 
-function of the half-line Schrödinger operator with Dirichlet boundary conditions we put forward a new interpolation formula which allows one to reconstruct the 
-function from its values on a certain infinite set of points for a broad class of potentials.
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-function. I. The response operator and the 
-amplitude. Comm. Math. Phys. 275 (2007), no. 3, pp. 791-803. 
-function. C. R. Math. Rep. Acad. Sci. Canada 9 (1987), no. 4, pp. 177-182. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47E05, 65D05
Retrieve articles in all journals with MSC (2000): 47E05, 65D05
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
DOI:
https://doi.org/10.1090/S0002-9939-09-09983-3
Keywords:
Titchmarsh-Weyl $m$-function,
interpolation,
$A$-amplitude,
Hardy space
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
Article copyright:
© Copyright 2009
American Mathematical Society