Stability of the Derivative of a Canonical Product

Langer, Matthias; Woracek, Harald

doi:10.1007/s11785-013-0315-5

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Proposition 411 Assume H 1 the Set Of Zeros Of1

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2017

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“…In fact, adding just one point mass to the measure μ may destroy the density of the polynomials. For related results see [23]. We thank Berg and Duran for making this fact clear to us and Sodin for pertinent remarks.…”

Section: Proposition 411 Assume H 1 the Set Of Zeros Ofmentioning

confidence: 79%

Inverse problems for Jacobi operators IV: interior mass-spring perturbations of semi-infinite systems

Rio¹,

Kudryavtsev²,

Silva³

2017

Inverse Problems

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This work gives results on the interplay of the spectra of two Jacobi operators corresponding to an infinite mass-spring system and a modification of it obtained by changing one mass and one spring of the system. It is shown that the system can be recovered from these two spectra. Necessary and sufficient conditions for two sequences to be the spectra of the mass-spring system and the perturbed one are provided.Mathematics Subject Classification(2010): 34K29, 47A75, 47B36, 70F17,

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Section: Proposition 411 Assume H 1 the Set Of Zeros Ofmentioning

confidence: 79%