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the inverse resonance problem for jacobi operators

Published online by Cambridge University Press:  23 September 2005

b. m. brown ,
s. naboko  and
r. weikard
b. m. brown
Affiliation:
school of computer science, university of wales, cardiff, po box 916, cardiff cf2 3xf, united kingdommalcolm.brown@cs.cf.ac.uk
s. naboko
Affiliation:
department of mathematical physics, st. petersburg state university, 198904 st. petersburg, russianaboko@math.uab.edu
r. weikard
Affiliation:
department of mathematics, university of alabama at birmingham, birmingham, al 35294-1170, usarudi@math.uab.edu
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Abstract

it is proved in this paper that super-exponentially decaying, possibly non-selfadjoint perturbations of the free jacobi operator are uniquely determined by the location of all their eigenvalues and resonances.

Keywords

39a7034k29
Type
papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 5 , October 2005 , pp. 727 - 737
Copyright
the london mathematical society 2005

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Footnotes

this material is based upon work supported by the us national science foundation under grant no. dms-0304280, kbn grant 5 po3a/026/21, the british epsrc, and the london mathematical society.