Operator Theory Seminar

November 28, 2017 - 1:30pm
309 VAN

“Duality Between Positive-Define Kernels and Boundary Spaces” by Mr. Aqeeb Sabree , Department of Mathematics, The University of Iowa

Abstract:  My presentation will focus on the duality between positive definite kernels and their boundary spaces. I will define these notions and give a brief overview of the subject area. A major focus of this presentation will be placed on the idea of reproducing positive definite kernels with boundary functions.  It is known that every Reproducing Kernel Hilbert space (RKHS) has an associated generalized boundary probability space. I will present these ideas in different examples and different aspects of my research.