Paper
2-Orthogonal Polynomials and Darboux Transforms
Faghmous, Chadia, Bouras, Mohamed Cherif, Ali Khelil, Karima
Abstract
In this work we present a new interpretation of Darboux transforms in the context of 2-orthogonal polynomials and nd condi- tions in order for any Darboux transform to yield a new set of 2- orthog- onal polynomials. We also introduce the LU and UL factorizations of the monic Jacobi matrix associated with a quasi-de nite linear functional de ned on the linear space of polynomials with real coe¢ cients.
Details
| Original language | English |
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| Event | The 3rd International Conference in Operator Theory, PDE and Applications |
| Publication status | Published — April 2019 |