14 citations · 48 across the 13 of their papers we have counts for
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New explicitly diagonalizable Hankel matrices related to the Stieltjes-Carlitz polynomials
František Štampach, Pavel Šťovíček
Four new examples of explicitly diagonalizable Hankel matrices depending on a parameter are presented. The Hankel matrices are regarded as matrix operators on the Hilbe…
On infinite Jacobi matrices with a trace class resolvent
Pavel Stovicek
Let be an orthonormal polynomial sequence and denote by the respective sequence of functions of the second kind. Suppose the Hamburger moment pr…
Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme
František Štampach, Pavel Šťovíček
We provide an explicit spectral representation for several weighted Hankel matrices by means of the so called commutator method. These weighted Hankel matrices are found in the com…
Special functions and spectrum of Jacobi matrices
Frantisek Stampach, Pavel Stovicek
Several examples of Jacobi matrices with an explicitly solvable spectral problem are worked out in detail. In all discussed cases the spectrum is discrete and coincides with the se…