Bicomplex Frames

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Elgourari Aiad; Ghanmi Allal; Souid El Ainin Mohammed

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2021 | Volume:18 | Issue:3 Page(s): 69-89

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Information Journal Paper

Title

Bicomplex Frames

Author(s)

Elgourari Aiad | Ghanmi Allal | Souid El Ainin Mohammed | Issue Writer Certificate

Keywords

Bicomplex

bc-frames

bc-frame operator

Weyl-Heisenberg bc-frame

Abstract

We define in a natural way the Bicomplex analog of the frames (bc-frames) in the setting of Bicomplex infinite Hilbert spaces, and we characterize them in terms of their idempotent components. We also extend some classical results from frames theory to bc-frames and show that some of them do not remain valid for bc-frames in general. The construction of bc-frame operators and Weyl--Heisenberg bc-frames are also discussed.

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