The Sums of a Pair of Orthogonal Frames
Keyword(s):
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.
1991 ◽
Vol 14
(3)
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pp. 611-614
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2012 ◽
Vol 54
(3)
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pp. 493-505
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1971 ◽
Vol 4
(3)
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pp. 419-422
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2020 ◽
Vol 18
(05)
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pp. 2050035
Keyword(s):
2003 ◽
Vol 2003
(22)
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pp. 1421-1431
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1996 ◽
Vol 19
(3)
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pp. 545-548