Title of article :
Bicomplex Frames
Author/Authors :
Elgourari ، Aiad Department of mathematics, Lab. P.D.E., Algebra and Spectral Geometry - Faculty of sciences - Ibn Tofail University in Kenitra , Ghanmi ، Allal Department of Mathematics, Analysis, P.D.G Spectral Geometry. Lab. M.I.A.-S.I., CeReMAR - Faculty of Sciences - Mohammed V University in Rabat , El Ainin ، Mohammed Souid Faculty of Law, Economics and Social Sciences - Ibn Zohr University
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.
Keywords :
Bicomplex , bc , frames , bc , frame operator , Weyl , Heisenberg bc , frame
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
