Wavelet transform of Beurling–Björck type ultradistributions
Ram Shankar PathakBanaras Hindu University, Varanasi, India
Abhishek SinghBanaras Hindu University, Varanasi, India
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.
Cite this article
Ram Shankar Pathak, Abhishek Singh, Wavelet transform of Beurling–Björck type ultradistributions. Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 211–222DOI 10.4171/RSMUP/137-11