Tight - -Frame and Its Novel Characterizations via Atomic Systems

Yongdong Huang and Dingli Hua

Advances in Mathematical Physics, 2016, vol. 2016, 1-6

Abstract:

-frame is a generalization of -frame. We generalize the tight -frame to - -frame via atomic systems. In this paper, the definition of tight - -frame is put forward; equivalent characterizations and necessary conditions of tight - -frame are given. In particular, the necessary and sufficient condition for tight - -frame being tight -frame is obtained. Finally, by means of methods and techniques of frame theory, several properties of tight - -frame are given.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3783456

DOI: 10.1155/2016/3783456

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