Open AccessSub-exponential decay of operator kernels for functions of generalized Schrödinger operators
Author(s) -
JeanMarc Bouclet,
François Germinet,
Abel Klein
Publication year - 2004
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-04-07431-3
Subject(s) - exponential decay , operator (biology) , exponential function , mathematics , schrödinger's cat , exponential growth , exponential formula , mathematical analysis , mathematical physics , physics , double exponential function , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene
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.