Operator Algebras and Representation Theory: Frames, Wavelets and Fractals (10w2163)


Berndt Brenken (University of Calgary)

(The University of Iowa)

(Louisiana State University)

(Lund University)


The "Operator Algebras and Representation Theory: Frames, Wavelets and Fractals" workshop will be hosted at The Banff International Research Station.

Frames, and their refinement, fusion frames, like the notion of bases, offer numericalrnrepresentations of vectors. While the representations are stable, they are typically non-unique,rnhence their use in applications with intrinsic redundancies: filter bank theory,rnsigma-delta quantization, image processing, and wireless communications. Other applicationsrnto distributed processing and sensor networks in the human brain require cleverrnsplitting of large frame systems into sets of (overlapping) smaller systems. Mathematically,rnthis must be done in a way that allows for effective processing within each individual subsystem. This has recently led to the development of a theory of fusion frames. It offers arnmathematical model for these applications as well as efficient algorithms with robustness.rn

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnolog�255a (CONACYT).