Characterization of Alternate Duals of Continuous Frames and Representation Frames

被引：0
|
作者：
Ali Akbar Arefijamaal
Atefe Razghandi
机构：
[1] Hakim Sabzevari University,Department of Mathematics and Computer Sciences
来源：
Results in Mathematics | 2019年 / 74卷
关键词：
Dual frames; continuous frames; unitary representation; representation frames; Primary 42C15; Secondary 20C99;
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摘要：
We give a new characterization of alternate dual of continuous frames and then apply these results to representation frames which are generated by a unitary representation on a locally compact group. We also investigate under which conditions alternate duals can be reduced to the canonical dual. Finally, we introduce representation frames with a unique representation form dual and obtain more results on alternate (not necessary representation form) duals.
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