Tauberian-type results characterizing the quasiasymptotic behavior of polynomial multiplication of Lizorkin distributions in terms of their Stockwell transforms are obtained. Some Abelian-type results relating the quasiasymptotic behavior and quasiasymptotic boundedness of Lizorkin distributions to the asymptotic behavior of their Stockwell transforms are given. Several Abelian-type results for the generalized wavelet transform are also presented.
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Jasmina Veta Buralieva (2024) studied this question.
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