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arXiv · 1403.8088

Multiple Geronimus transformations

Maxim Derevyagin·Juan Carlos García-Ardila·Francisco Marcellán
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Abstract

We consider multiple Geronimus transformations and show that they lead to discrete (non-diagonal) Sobolev type inner products. Moreover, it is shown that every discrete Sobolev inner product can be obtained as a multiple Geronimus transformation. A connection with Geronimus spectral transformations for matrix orthogonal polynomials is also considered.

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Maxim Derevyagin, Juan Carlos García-Ardila, Francisco Marcellán. 2014-03-31. Multiple Geronimus transformations. https://arxiv.org/abs/1403.8088

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