Work

Time-and-band limiting for symmetric classical Dunkl orthogonal polynomials

Year: 2026

Type: preprint

Abstract: The problem of ''time and band limiting'' has been previously considered for expansions in orthonormal polynomials that are common eigenfunctions of some second order differential operator. In this paper we consider the situation of orthonormal polynomials that are eigenfunctions of some second order differential-difference operator as introduced by Ch. Dunkl. These polynomials appear already in the work of G. Szegő and at the same time play a role in supersymmetric quantum mechanics.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.24100

Authors: Castro, M. M., Grünbaum, F. A.

Institution: Universidad de Sevilla

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Junta de Andalucía, Agencia Estatal de Investigación

Awards: G1092424111, G1105844351, G2065685387, G4025565791, G491712853, G5635532810, G593054264, G6115933126, G6865816780, G717256432, G7805626310, G7863371703, G786499818, G8497050386

OpenAlex ID: W7223019279

Cites:

Cited by: 1

Related to: 10