Convergence and Summability of Orthogonal Series (open access)

Convergence and Summability of Orthogonal Series

Consider an orthogonal series [formula] where [formula] is an arbitrary orthonormal system for the interval (a, b) and [formula] is a sequence of real numbers. This report is a collection of theorems which give sufficient conditions for the convergence almost everywhere in (a, b) and summability a. e. in (a, b) of the above series.
Date: October 6, 1953
Creator: Killeen, John, 1925-
System: The UNT Digital Library