A right inverse of the Askey-Wilson operator
B. Malcolm Brown, Mourad E. H. Ismail
Abstract
We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator on L2 with weight (1-x2)-1/2. The kernel of this integral operator is '4/4 and is the Riemann mapping function that maps the open unit disc conformally onto the interior of an ellipse.
Create a lesson
Related papers
Optimal fractional discrete Hardy inequalities on the half-line
František Štampach, Jakub Waclawek
Capacitary-Distance Hardy Inequality
Yiqun Chen, Jie Xiao, Dachun Yang et al.
Microstructure evolution as a game
Michael Ortiz
Optimal differentiability of isotropic positive definite functions on even-dimensional spheres
Yan Ge
Bilinear Bochner--Riesz Means on the Complex Sphere
S. Bagchi, Md N. Molla, J. Singh et al.
Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions
Wentao Huang, Haizhang Zhang