503 research outputs found
The Inverse Spectral Problem for Jacobi-Type Pencils
In this paper we study the inverse spectral problem for Jacobi-type pencils.
By a Jacobi-type pencil we mean the following pencil , where
is a Jacobi matrix and is a semi-infinite real symmetric
five-diagonal matrix with positive numbers on the second subdiagonal. In the
case of a special perturbation of orthogonal polynomials on a finite interval
the corresponding spectral function takes an explicit form
- …