CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR
KREKOVA 2 SI-2000 MARIBOR SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoreticno fiziko

CONTRIBUTIONS TO DISCRETE STURM-LIOUVILLE THEORY

Dr. Andreas Ruffing

Technische Universität München, Zentrum Mathematik
Arcisstrasse 21, D-80333 München, Germany

Abstract In this talk, the summary of four articles is presented by which the speaker has investigated deformations of classical Hermite poly- nomials. The polynomials under consideration are closely related with discretizations of classical Sturm-Liouville and Schroedinger equations and lead to a fascinating message in general: Closed discretizations of classical Sturm-Liouville equations are on the one hand side intrinsically connected with perturbations of differential operators. On the other hand they are associated with effects of noncommutativity in Banach algebras of difference-differential operators. The obtained results perfectly agree with the abstract formal approach to Quantum Harmonic Analysis by Arthur Jaffe, given in 1997.

Seminarsko predavanje bo v sredo, 7. marca 2001 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritlicje. Vljudno vabljeni vsi zainteresirani, tudi študentje.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --