Stability for the inverse resonance problem for the CMV operator

2013/01/22 by Roman Shterenberg, Shterenberg, Roman, Rudi Weikard +3
Mathematics · Physics and Astronomy · #34L40 #39A70 #47B36 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.MP #math.SP #msc:34L40 #msc:39A70 #msc:47B36

paper · pdf · doi:10.48550/arxiv.1301.5078

arxiv created 2013/01/22 · arxiv updated 2013/01/23

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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