The Feichtinger Conjecture in Mathematics and Engineering
given at strobl07 (18.06.07 09:15)
We will see that the Feichtinger Conjecture in frame theory is equivalent to fundamental unsolved problems in a dozen areas of research in pure mathematics, applied mathematics and engineering including the Kadison-Singer Problem, the Bourgain-Tzafriri Conjecture, the Paving Conjecture etc.
This gives all these research areas common ground on which to interact as well as explaining why each of them has volumes of literature on their respective problems without a satisfactory resolution.
We will look at some of the equivalences of the Feichtinger Conjecture in operator theory, Banach space theory, harmonic analysis, and applied math/engineering.