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   -> Volume 2, Issue 16


Preprint available: Portrait of frames
 
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aldroubi@helix.nih.gov
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PostPosted: Fri Nov 29, 2002 3:38 pm    
Subject: Preprint available: Portrait of frames
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Preprint available: Portrait of frames

Preprint of the paper below is available: if interested, send your postal
address by email to aldroubi@helix.nih.gov

Portrait of frames
(To appear in the Proc. Amer. Math. Soc.)

By Akram Aldroubi

We introduce two methods for generating frames of a Hilbert space
$cal H$. The first method uses bounded operators on $cal H$. The
other method uses bounded linear operators on $l_2$ to generate
frames of $cal H$. We characterize all the mappings that transform
frames into other frames. We also show how to construct all frames
of a given Hilbert space $cal H$, starting from any given one. We
illustrate the results by giving some examples from multiresolution
and wavelet theory.
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