Third Year Oral Examination: "Optimal Polynomial Approximants"
Speaker: Christopher Felder, Washington University in Saint Louis
Abstract: Given a function f in a Hilbert space of analytic functions, we will discuss how to approximate 1/f, in some sense, with polynomials. This topic arises from the characterization of cyclic functions. We will briefly discuss that motivation and some connections with orthogonal polynomials and reproducing kernels.
Host: John McCarthy