TITLE:
Bilinear Mappings and the Frame Operator
AUTHORS:
Enrico Au-Yeung
KEYWORDS:
Harmonic Analysis; Frames
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.4,
July
8,
2013
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.