Ultradistributional Wavelet Convolutors
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.
Authors
- Nikhila Raghuthaman
- Abhishek Singh (ORCID: https://orcid.org/0000-0001-7570-6276)
Institutions
- Banasthali University (IN)
- Shri Mata Vaishno Devi University (IN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-03-19
- DOI
- https://doi.org/10.1002/mma.10897
- Citations
- 1
- Primary Topic
- Image and Signal Denoising Methods
- Type
- article
- Field-Weighted Citation Impact
- 1.28
Funders
- Department of Atomic Energy, Government of India