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Bulletin of the London Mathematical Society Advance Access published online on July 19, 2007
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdm065
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© 2007 London Mathematical Society

Exponential decay of eigenfunctions and generalized eigenfunctions of a non-self-adjoint matrix Schrödinger operator related to NLS

Dirk Hundertmark

School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham, B15 2TT
United Kingdom
On leave from
Department of Mathematics
Altgeld Hall
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, IL 61801
USA
dirk{at}math.uiuc.edu

Young-Ran Lee

Department of Mathematics
Altgeld Hall
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, IL 61801
USA
yrlee4{at}math.uiuc.edu

Received 13 May 2006. Revision received 13 April 2007.

We study the decay of eigenfunctions of the non-self-adjoint Formula, for µ > 0, corresponding to eigenvalues in the strip -µ < Re E < µ.

Correspondence: hundertd{at}maths.bham.ac.uk

2000 Mathematics Subject Classification 35B20, 35B40, 35P30.

D. H. was supported in part by NSF grant DMS–0400940.


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