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Wavelet transform of a distribution in involving wavelet of infraexponential decay (subexponential decay) is studied. An inversion formula is obtained which is valid in the weak topology of . A discussion on extension of the results to ultradistribution space of compact support is also given.
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Ram Shankar Pathak, Abhishek Singh, Wavelet transform of Beurling–Björck type ultradistributions. Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 211–222