Although the beginning of frame theory starts with a Hilbert space $H$ and the idea, that a frame allows both atomic decompositions of all of its elements, or recovery from the scalar products of a given vector $H$ (the coeffient mapping from $H$ into $\ell^2(I)$), the pure Hilbert space theory has several drawbacks.

In this (chalk) talk [most likely] we plan to explain to which extent the Segal algebra $S_0(R^d)$ can be use to obtain robustness results which are simply not valid in the setting of the Hilbert space $L^2(R^d)$.

Details to be given later on at this page:
http://www.univie.ac.at/nuhag-php/program/talks_details.php?id=3453