Georgia Institute of Technology College of Sciences

Unconditional Schauder frames in Hilbert spaces provide unconditionally convergent reconstruction formulas for every element of the space. Such expansions have been a major theme across various branches of theoretical mathematics and have also proved useful in applied fields such as signal processing. Consequently, the characterization and analysis of unconditional Schauder frames have been important research topics over the past decades. In this talk, we will first present a complete characterization of unconditional Schauder frames. Second, we will talk about several applications of this characterization.