16 research outputs found
A solution to the Al-Salam--Chihara moment problem
We study the -hypergeometric difference operator on a particular
Hilbert space. In this setting can be considered as an extension of the
Jacobi operator for -Al-Salam--Chihara polynomials. Spectral analysis
leads to unitarity and an explicit inverse of a -analog of the Jacobi
function transform. As a consequence a solution of the Al-Salam--Chihara
indeterminate moment problem is obtained.Comment: 22 page