TY - JOUR
ID - 244941
TI - Bicomplex Frames
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Elgourari, Aiad
AU - Ghanmi, Allal
AU - Souid El Ainin, Mohammed
AD - Lab. P.D.E., Algebra and Spectral Geometry, Department of mathematics, Faculty of sciences, P.O.Box 133, Ibn Tofail University in Kenitra; Morocco.
AD - Analysis, 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.
AD - Faculty of Law, Economics and Social Sciences, Ibn Zohr University, Agadir, Morocco.
Y1 - 2021
PY - 2021
VL - 18
IS - 3
SP - 69
EP - 89
KW - Bicomplex
KW - bc-frames
KW - bc-frame operator
KW - Weyl-Heisenberg bc-frame
DO - 10.22130/scma.2021.140216.875
N2 - We 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.
UR - https://scma.maragheh.ac.ir/article_244941.html
L1 - https://scma.maragheh.ac.ir/article_244941_28312fad14c7968bb218915ac76a0ec2.pdf
ER -