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Description: |
This talk is focused in the so called canonical spectral transformations of measures. We analyze the behaviour of zeros of MOPS associated with the Christoffel and Uvarov transformations of the measures. First, we introduce the representation of the perturbed MOPS in terms of the initial ones and we analyze the behaviour of the zeros of the MOPS when an Uvarov transform is introduced. Next, we study the electrostatic interpretation of the zero distribution as equilibrium points in a logarithmic potential interaction under the action of an external field. We analyze such an equilibrium problem when the mass point is located on the boundary or in the exterior of the support of the modified measure, respectively.
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