The bispectral problem and polynomial solutions
Spectral Theory
2021-11-30 v1
Abstract
Some properties and relations satisfied by the polynomial solutions of the bispectral problem are studied. Given a differential operator, under certain restrictions its polynomial eigenfunctions are explicitly obtained, as well as the corresponding eigenvalues. Also the inverse problem is approached, giving conditions for the existence of a differential operator from its eigenpolynomials and eigenvalues.
Cite
@article{arxiv.2111.14617,
title = {The bispectral problem and polynomial solutions},
author = {D. Barrios Rolanía},
journal= {arXiv preprint arXiv:2111.14617},
year = {2021}
}