Florida Polytechnic University

Applied Mathematics & Science Seminar

Tues 9/15 in IST 1044 12:00-1:00pm

Speaker: Dr. Thibaud Alemany - University of Central Florida

Title: Geometric Properties of Reproducing Kernels in Lienar Model Spaces

Abstract: Meromorphic model spaces K_{theta} are closed subspaces of the Hardy space associated with meromorphic inner functions \theta , whose elements admit meromorphic continuation across the real line.  Given a sequence Λ⊂R   We study systems of reproducing kernels  K(Λ) in Kθ. We obtain necessary and sufficient conditions for K(Λ)  to form a Riesz basis, a frame, a Riesz sequence, or a Bessel sequence in .  We further investigate the stability of these properties under perturbations of Λ , and obtain perturbation results analogous to the classical theorems of Kadets and Avdonin for exponential systems.