Abelian‐Type Results for the Mexican Hat Wavelet Transform of Compactly Supported Distributions
ABSTRACT In this paper, we introduce a distribution space that extends the framework of the Abelian theorems to the Mexican hat wavelet transform (MHWT) of distributions. We establish two Abelian theorems for the MHWT applied to compactly supported distributions and for locally integrable functions, providing new insights into their asymptotic behavior.
Authors
- Aparna Rawat
- Abhishek Singh (ORCID: https://orcid.org/0000-0001-7570-6276)
Institutions
- Christ University (IN)
- Shri Mata Vaishno Devi University (IN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-11-24
- DOI
- https://doi.org/10.1002/mma.70349
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Board for Higher Mathematics