The analysis seminar offers a venue for research, tutorial and expository talks in the area of analysis.
See below for upcoming seminars or access the seminar archive.
Organizers
Elaine Cozzi and David Finch.
Timing
Mondays at noon
On the 'resolving power' of complete interpolating sequences
Kidder 237
Speaker: Adel Faridani
Square-integrable functions whose Fourier transforms have compact support in the interval [-pi, pi] can be recovered from their samples on a set of points called a complete interpolating sequence (CIS). A CIS is a minimal set in the sense that it has minimal density and recovery fails if a single point is removed from the CIS. The integers are the best-known example of a CIS, leading to uniform sampling and the classical Sampling Theorem. We investigate whether all CISs are 'created equal', or… Read more.