
The American Institute of Mathematics maintains a webpage for advances on the Kadison-Singer Problem:
There is a web page for Fusion Frames and their Applications:
The Numerical Harmonic Analysis Group (NuHAG) at the
University of Vienna
maintains an extensive web page on time-frequency analysis
and applications to signal processing:
The Norbert Wiener Center for Harmonic Analysis and Applications is in the Department of Mathematics at the University of Maryland. Its mission is to develop harmonic analysis in the context of vital industrial technologies, and, in turn, to enhance these technologies by virtue of fundamental, deep, applicable harmonic analysis.