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Stability for the inverse resonance problem for the CMV operator (1301.5078v1)

Published 22 Jan 2013 in math.SP, math-ph, and math.MP

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.

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