New insights on asymptotic behavior in locally integrable functions revealed via Abelian theorems.
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.
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Rawat et al. (2025) studied this question.
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