Preprint Article Version 1 This version is not peer-reviewed

The Sums of a Pair of Orthogonal Frames

Version 1 : Received: 9 May 2019 / Approved: 10 May 2019 / Online: 10 May 2019 (14:47:17 CEST)

How to cite: Bhatt, G. The Sums of a Pair of Orthogonal Frames. Preprints 2019, 2019050133 (doi: 10.20944/preprints201905.0133.v1). Bhatt, G. The Sums of a Pair of Orthogonal Frames. Preprints 2019, 2019050133 (doi: 10.20944/preprints201905.0133.v1).

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.

Subject Areas

Frames; Orthogonal frames; Canonical dual; Alternate dual

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.