Wednesday, January 23, 2013

1301.5078 (Roman Shterenberg et al.)

Stability for the inverse resonance problem for the CMV operator    [PDF]

Roman Shterenberg, Rudi Weikard, Maxim Zinchenko
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.
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