UPPER-BOUNDS FOR THE RESONANCE COUNTING FUNCTION OF SCHRODINGER-OPERATORS IN ODD DIMENSIONS

Authors
FROESE R
Citation
R. Froese, UPPER-BOUNDS FOR THE RESONANCE COUNTING FUNCTION OF SCHRODINGER-OPERATORS IN ODD DIMENSIONS, Canadian journal of mathematics, 50(3), 1998, pp. 538-546
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
50
Issue
3
Year of publication
1998
Pages
538 - 546
Database
ISI
SICI code
0008-414X(1998)50:3<538:UFTRCF>2.0.ZU;2-A
Abstract
The purpose of this note is to provide a simple proof of the sharp pol ynomial upper bound for the resonance counting function of a Schroding er operator in odd dimensions. At the same time we generalize the resu lt to the class of super-exponentially decreasing potentials.