Interpretation of some integrable systems via multiple orthogonal polynomials

Analysis Seminar
Wednesday, April 21, 2010 - 2:00pm
1 hour (actually 50 minutes)
Skiles 269
Polytechnical University of Madrid
Some discrete dynamical systems defined by a Lax pair are considered. The method of investigation is based on the analysis of the matrical moments for the main operator of the pair. The solutions of these systems are studied in terms of properties of this operator, giving, under some conditions, explicit expressions for the resolvent function.