Bilinear Mappings and the Frame Operator

Enrico Au-Yeung

Pacific Institute for the Mathematical Sciences, Vancouver, Canada.

DOI: 10.4236/apm.2013.34062                

Abstract

The theory of frames has been actively developed by many authors over the past two decades, both for its applications to signal processing, and for its deep connections to other areas of mathematics such as operator theory. Central to the study of frames is the frame operator. We initiate an investigation that extends the frame operator to the bilinear setting.

Keywords

Harmonic Analysis; Frames

Conflicts of Interest

The authors declare no conflicts of interest.

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