Multiple Geronimus transformations
Classical Analysis and ODEs
2014-04-21 v3 Numerical Analysis
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.
Cite
@article{arxiv.1403.8088,
title = {Multiple Geronimus transformations},
author = {Maxim Derevyagin and Juan Carlos García-Ardila and Francisco Marcellán},
journal= {arXiv preprint arXiv:1403.8088},
year = {2014}
}
Comments
20 pages