CONVERGENCE OF CLIFFORD JACOBI WAVELETS IN Lp-NORM AND SHORT TIME FOURIER TRANSFORM

CONVERGENCE OF CLIFFORD JACOBI WAVELETS IN Lp-NORM AND SHORT TIME FOURIER TRANSFORM

D. Kumar

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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.

Keywords

Approximate identity; Clifford-Jacobi wavelets; Clifford-Jacobi continuous wavelet transform; Schwartz class; Clifford analysis; Short-time Clifford Fourier transform.