Codes and Expansions (CodEx) Seminar

Ursula Molter (Universidad de Buenos Aires):
Best "good" subspace data fitting

In this talk, we will show how to approximate given data with appropriate "small" subspaces. We apply this to functions in a Hilbert space to approximate them by Shift Invariant Spaces. We further consider the case when we include spaces that are invariant under the action of different groups, such as crystal groups.
Finally, we address the question of whether we can obtain the approximation with "good" functions.