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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
Frame properties of wave packet systems in L2(RRd )
Type
JournalPaper
Keywords
Frames · Wave packet systems · Generalized shift-invariant systems
Year
2008
Journal ADVANCES IN COMPUTATIONAL MATHEMATICS
DOI
Researchers ، Asghar Rahimi

Abstract

Extending work by Hernandez, Labate and Weiss, we present a sufficent condition for a generalized shift-invariant system to be a Bessel sequence or even a frame for L2(Rd). In particular, this leads to a sufficient condition for a wave packet system to form a frame. On the other hand, we show that certain natural conditions on the parameters of such a system exclude the frame property.