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Generalized fusion frame in quaternionic Hilbert spaces. (English) Zbl 07840476

In this paper, the concept of generalized fusion frames or \(g\)-fusion frames in quaternionic Hilbert spaces is considered and some properties for \(g\)-fusion frames are obtained. In particular, their characterizations and constructions are focused.

MSC:

42C15 General harmonic expansions, frames
11R52 Quaternion and other division algebras: arithmetic, zeta functions