Reproducing Formulas for the Fourier-Like Multipliers Operators in q-Rubin Setting

Abstract

The aim of this work is to study of the q^2 -Fourier multiplier operators on R_q and we give for them Calderon’s reproducing formulas and best approximation on the q^2-analogue Sobolev type space H_q using the theory of q^2-Fourier transform and reproducing kernels.