Stability for the inverse resonance problem for the CMV operator

Academic Article

Abstract

  • For the class of unitary CMV operators with super-exponentially decaying Verblunsky coefficients we give a new proof of the inverse resonance problem of reconstructing the operator from its resonances - the zeros of the Jost function. We establish a stability result for the inverse resonance problem that shows continuous dependence of the operator coefficients on the location of the resonances.
  • Keywords

  • math.SP, math.SP, math-ph, math.MP, 47B36, 34L40, 39A70
  • Pubmed Id

  • 10089366
  • Author List

  • Shterenberg R; Weikard R; Zinchenko M