2 papers
math.FA2020
Bicomplex frames
Aiad El Gourari, Allal Ghanmi, Mohammed Souid El Ainin
The main purpose is to introduce the so-called bicomplex (bc)-frames which is a special extension to bicomplex infinite Hilbert spaces of the classical frames. The crucial result i…
math.CV2019
On bicomplex Fourier--Wigner transforms
Aiad El Gourari, Allal Ghanmi, Khalil Zine
We consider the - and -d bicomplex analogs of the classical Fourier--Wigner transform. Their basic properties, including Moyal's identity and characterization of their ranges…