Diagonalization of certain integral operators II
经典分析与常微分方程
2016-09-06 v1
摘要
We establish an integral representations of a right inverses of the Askey-Wilson finite difference operator in an space weighted by the weight function of the continuous -Jacobi polynomials. We characterize the eigenvalues of this integral operator and prove a -analog of the expansion of in Jacobi polynomials of argument . We also outline a general procedure of finding integral representations for inverses of linear operators.
引用
@article{arxiv.math/9310221,
title = {Diagonalization of certain integral operators II},
author = {Mourad E. H. Ismail and Mizan Rahman and Ruiming Zhang},
journal= {arXiv preprint arXiv:math/9310221},
year = {2016}
}