Preprint
Article
The Sums of a Pair of Orthogonal Frames
This version is not peer-reviewed.
Submitted:
09 May 2019
Posted:
10 May 2019
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Abstract
A sum of different frames under the action of a bounded linear operator is studied with the help of analysis, synthesis and frame operators. In particular, it is shown that the sum of a pair of orthogonal frames is a frame. This provides an easy construction of a frame where the frame bounds can be computed easily. For a pair of orthogonal frames, the necessary and sufficient condition is presented for their alternate duals to be orthogonal.
Keywords:
Frames; Orthogonal frames; Canonical dual; Alternate dual
Subject:
Computer Science and Mathematics - AnalysisCopyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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