𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On sum rules of special form for Jacobi matrices

✍ Scribed by Stanislav Kupin

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
88 KB
Volume
336
Category
Article
ISSN
1631-073X

No coin nor oath required. For personal study only.

✦ Synopsis

We use sum rules of a special form to study spectral properties of Jacobi matrices. As a consequence of the main theorem, we obtain a discrete counterpart of a result by

πŸ“œ SIMILAR VOLUMES

On the eigenvalue problem for a particul
On the eigenvalue problem for a particular class of finite Jacobi matrices
✍ F. Ε tampach; P. Ε Ε₯ovı´ček πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 302 KB

A function F with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of F, first of all the Bessel functions of first kind. A compact formula in terms of the function F is given for the determinant of a Jacob