Wavelet transform of Beurling–Björck type ultradistributions
Ram Shankar Pathak, Abhishek Singh · Rendiconti del Seminario Matematico della Università di Padova · 2017
Wavelet transform of a distribution in \mathscr{M}_{\omega}^{'} involving wavelet of infraexponential decay (subexponential decay) is studied. An inversion formula is obtained which is valid in the weak topology of \mathcal{D}^{'} . A discussion on extension of the results to ultradistribution space of compact support is also given.