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The Inverse Resonance Problem for Jacobi Operators
Author(s) -
Brown B. M.,
Naboko S.,
Weikard R.
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004674
Subject(s) - mathematics , eigenvalues and eigenvectors , jacobi operator , operator (biology) , mathematics subject classification , inverse problem , inverse , pure mathematics , mathematical analysis , algebra over a field , jacobi polynomials , quantum mechanics , geometry , physics , biochemistry , chemistry , repressor , transcription factor , orthogonal polynomials , gene
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. 2000 Mathematics Subject Classification 39A70, 34K29.