Wavelet transform of Beurling-Björck type ultradistributions

Wavelet analysis has been used for intrinsic characterizations of important function and distribution spaces ([10], [11]). Recently, the wavelet transform has been extended to distributions, and inversion formulae have been established in distribution setting by Pathak [13, 14], Pathak et al [16, 17, 18] and Pandey [12] using duality arguments. Wavelets of subexponential decay whose Fourier transform have compact support i.e. band limited wavelets, were investigated by Dziubański and Hernández [7]. Pathak and Singh [17] extended the work of Dziubański and Hernández and studied wavelets with more general decay (infraexponential decay) whose Fourier