Spectrum of a Jacobi matrix with exponentially growing matrix elements |
| |
Authors: | I A Sheipak |
| |
Institution: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Leninskie Gory, Moscow,Russia |
| |
Abstract: | A Jacobi matrix with an exponential growth of its elements and the corresponding symmetric operator are considered. It is
proved that the eigenvalue problem for some self-adjoint extension of this operator in some Hilbert space is equivalent to
the eigenvalue problem of the Sturm-Liouville operator with a discrete self-similar weight. An asymptotic formula for the
distribution of eigenvalues is obtained. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|