Abstract and Applied Analysis

Volume 2004 (2004), Issue 5, Pages 435-451

doi:10.1155/S1085337504306135

## Exact solutions of the semi-infinite Toda lattice with applications to the inverse spectral problem

# E. K. Ifantis and K. N. Vlachou

Department of Mathematics, University of Patras, Patras 26500, Greece

Received 30 July 2002

Copyright © 2004 E. K. Ifantis and K. N. Vlachou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Several inverse spectral problems are solved by a method which is
based on exact solutions of the semi-infinite Toda lattice. In
fact, starting with a well-known and appropriate probability
measure