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Some Properties of R-dual Sequences

Guochang Wu, Fangjuan Zhang, Huaixin Cao


In this note, we will give some properties of R-dual sequences. We first discuss the commutability of the bases of constructing R-dual sequences. Secondly, we prove that R-dual sequences have the same potentials. Thirdly, we classify two orthogonal sequences and orthogonal frames by their R-dual sequences, respectively. At last, we give another simpler proof of an existing result.


R-dual sequences, orthogonal sequences, the frame potential, commutability.

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