Diagonalization of Certain Integral Operators II ∗

  title={Diagonalization of Certain Integral Operators II ∗},
  author={Mourad E. H. Ismail and Mizan Rahman and Ruiming Zhang},
We establish an integral representations of a right inverses of the Askey-Wilson finite difference operator in an L2 space weighted by the weight function of the continuous q-Jacobi polynomials. We characterize the eigenvalues of this integral operator and prove a q-analog of the expansion of eixy in Jacobi polynomials of argument x. We also outline a general procedure of finding integral representations for inverses of linear operators. Running title: Integral Operators 1990 Mathematics… CONTINUE READING
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