Interpretation of some integrable systems via multiple orthogonal polynomials

Series
Analysis Seminar
Time
Wednesday, April 21, 2010 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 269
Speaker
Dolores Barrios – Polytechnical University of Madrid
Organizer
Plamen Iliev
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.