Abelian-Type Results for the Mexican Hat Wavelet Transform of Compactly Supported Distributions
- Title
- Abelian-Type Results for the Mexican Hat Wavelet Transform of Compactly Supported Distributions
- Creator
- Rawat, Aparna; Singh, Abhishek
- Description
- 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. 2025 John Wiley & Sons Ltd.
- Source
- Mathematical Methods in the Applied Sciences;Volume;49;Issue;5;pp.4340-4349
- Date
- 01-01-2026
- Publisher
- John Wiley and Sons Ltd
- Subject
- compact support; distributions; wavelet transform and Mexican hat wavelet transform
- Coverage
- Rawat A., School of Sciences, CHRIST (Deemed to be University), Bengaluru, India; Singh A., School of Mathematics, Faculty of Sciences, Shri Mata Vaishno Devi University, J&K, Katra, India
- Rights
- All Open Access; Bronze Open Access
- Relation
- ISSN: 1704214; CODEN: MMSCD
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Rawat, Aparna; Singh, Abhishek, “Abelian-Type Results for the Mexican Hat Wavelet Transform of Compactly Supported Distributions,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21790.