Ultradistributional Wavelet Convolutors
Abhishek Singh, Nikhila Raghuthaman · Mathematical Methods in the Applied Sciences · 2025
ABSTRACT In this paper, we explore wavelet convolutors in the ultradistribution space . We examine wavelet convolutors by applying an appropriate topological isomorphism to these spaces via the wavelet transform. Additionally, we present Calderóns reproducing formula for wavelet convolutors and provide an example using the Mexican hat wavelet transform for the associated convolutors.