Take 9 credit hours of courses. Take the first half of two pillar sequences. Enroll in Math 5905 (part 1 of 2). Prepare to take one (or more) of the preliminary exams offered in January. Take 6 credit ...

An analog of the Whittaker-Shannon-Kotel'nikov sampling theorem is derived for functions with values in a separable Hilbert space. The proof uses the concept of frames and frame operators in a Hilbert ...