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Abstract:
In this paper, we introduce the notion of partial affine system that is a subset of an affine system. It has potential applications in signal analysis. A general affine system has been extensively studied; however, the partial one has not. The main focus of this paper is on partial affine system-based frames and dual frames. We obtain a necessary condition and a sufficient condition for a partial affine system to be a frame and present a characterization of partial affine system-based dual frames. Some examples are also provided.
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Source :
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN: 0170-4214
Year: 2017
Issue: 18
Volume: 40
Page: 6927-6943
2 . 9 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:66
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 2
SCOPUS Cited Count: 2
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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