Wavelet transform of multiplicators and convolutors for ultradistributions
Abhishek Singh, Nikhila Raghuthaman, Richard D. Carmichael · Mathematical Methods in the Applied Sciences · 2022
In this paper, we discuss multiplicators and convolutors for ultradistributions. A Calderóns reproducing formula for convolutors is derived. Also, we investigate the wavelet transform on multiplicators and convolutors of ultradistribution space. Further, an inversion formula is established for the wavelet transform and a tabular representation of the spaces along with the operations is also given.