Convergence of Clifford Jacobi wavelets in Lᵖ-norm and short time fourier transform

Abstract

We have developed an approximate identity and studied the convergence of Clifford-Gegenbauer-Jacobi polynomials and their associated wavelets in Lᵖ-sense. Additionally, the convergence of short-time Clifford Fourier transform in Feichtinger space will be studied. This study aims to extend prior findings in wavelet and Fourier analysis within the framework of Clifford analysis, addressing gaps in function reconstruction beyond L² spaces and utilizing approximate identities.