University of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Bicomplex Frames698924494110.22130/scma.2021.140216.875ENAiad ElgourariLab. P.D.E., Algebra and Spectral Geometry, Department of mathematics, Faculty of sciences, P.O.Box 133, Ibn Tofail University in Kenitra; Morocco.0000-0002-3050-3106Allal GhanmiAnalysis, P.D.G $\&$ Spectral Geometry. Lab. M.I.A.-S.I., CeReMAR, Department of Mathematics, P.O. Box 1014, Faculty of Sciences, Mohammed V University in Rabat, Morocco.0000000307645576Mohammed Souid El AininFaculty of Law, Economics and Social Sciences, Ibn Zohr University, Agadir, Morocco.000000025835283xJournal Article20201209We define in a natural way the bicomplex analog of the frames (bc-frames) in the setting ofÂ 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.https://scma.maragheh.ac.ir/article_244941_28312fad14c7968bb218915ac76a0ec2.pdf