Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators
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- by Jean-Marc Bouclet, François Germinet and Abel Klein PDF
- Proc. Amer. Math. Soc. 132 (2004), 2703-2712 Request permission
Abstract:
We study the decay at large distances of operator kernels of functions of generalized Schrödinger operators. We prove sub-exponential decay for functions in Gevrey classes and exponential decay for real analytic functions.References
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Additional Information
- Jean-Marc Bouclet
- Affiliation: UMR 8524 CNRS, UFR de Mathématiques, Université de Lille 1, F-59655 Villeneuve d’Ascq Cédex, France
- MR Author ID: 680057
- Email: Jean-Marc.Bouclet@agat.univ-lille1.fr
- François Germinet
- Affiliation: UMR 8524 CNRS, UFR de Mathématiques, Université de Lille 1, F-59655 Villeneuve d’Ascq Cédex, France
- Address at time of publication: Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
- Email: germinet@agat.univ-lille1.fr, germinet@math.u-cergy.fr
- Abel Klein
- Affiliation: Department of Mathematics, University of California Irvine, Irvine, California 92697-3875
- MR Author ID: 191739
- Email: aklein@uci.edu
- Received by editor(s): February 13, 2003
- Received by editor(s) in revised form: July 7, 2003
- Published electronically: April 21, 2004
- Additional Notes: The third author was supported in part by NSF Grant DMS-0200710.
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2703-2712
- MSC (2000): Primary 81Q10, 47F05; Secondary 35P05
- DOI: https://doi.org/10.1090/S0002-9939-04-07431-3
- MathSciNet review: 2054797