Szego Seminar: "Intersection of the closed linear spans of analytic and antianalytic polynomials in weighted L^2 spaces on the circle"

Christopher Felder, Washington University in Saint Louis

Abstract: Let w be an integrable function on the unit circle and dm denote normalized Lebesgue measure. Let L^2(w) denote the space of square integrable functions on the unit cirlce with respect to the measure wdm. Denote the closed linear spans of {z^n}_{n>=0} and {z^n}_{n<0} in L^2(w) as H^2(w) and H^2_{-}(w), respectively. We will discuss the question of when the intersection of H^2(w) and H^2_{-}(w) contains only zero.

Host: Christopher Felder