Operator Theory Seminar
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.