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12:00 pm Wednesday, September 6, 2017 Spectral Theory Brown Bag Seminar: Spectral Theory of Orthogonal Polynomials on Cantor Setsby Gökalp Alpan (Rice University) in HBH 427- Szegő class and isospectral torus are two central notions in studying orthogonal polynomials on a finite gap set. The Szegő condition can be characterized in terms of asymptotics of Widom factors. A Jacobi operator in the isospectral torus on a finite gap set is almost periodic and regular in the sense of Stahl-Totik. In view of some new results and conjectures, we discuss the possibility to generalize these two notions to the case where the set is an arbitrary non-polar compact subset of the real line.
Submitted by damanik@rice.edu |