@inbook{2b0f1e370400414d99adaed86d4388bc,

title = "A solution to the Al-Salam–Chihara moment problem",

abstract = "We study the q-hypergeometric difference operator L on a particular Hilbert space. In this setting L can be considered as an extension of the Jacobi operator for q−1-Al-Salam–Chihara polynomials. Spectral analysis leads to unitarity and an explicit inverse of a q-analog of the Jacobi function transform. As a consequence a solution of the Al-Salam–Chihara indeterminate moment problem is obtained.",

keywords = "Indeterminate moment problem, Little q-Jacobi function transform, Q-Hypergeometric difference operator, Q-Al-Salam–Chihara polynomials",

author = "Wolter Groenevelt",

year = "2019",

doi = "10.1007/978-3-030-10850-2_11",

language = "English",

isbn = "978-3-030-10849-6",

series = "Trends in Mathematics",

publisher = "Springer",

pages = "223--248",

editor = "G. Buskes and {de Jeu}, M. and Dodds, {P. } and Schep, {A. } and F. Sukochev and {van Neerven}, {J. } and A. Wickstead",

booktitle = "Positivity and Noncommutative Analysis",

}