Characterization of Alternate Duals of Continuous Frames and Representation Frames

被引：2

作者：

Arefijamaal, Ali Akbar ^{[1
]}

Razghandi, Atefe ^{[1
]}

机构：

[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, Sabzevar, Iran

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期

关键词：

Dual frames; continuous frames; unitary representation; representation frames; GABOR;

D O I：

10.1007/s00025-019-1116-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：17

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