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<p>Several Abelian- and Tauberian-type results characterizing the quasiasymptotics of the <i>m</i>-th derivative of Lizorkin distributions in terms of their Stockwell and wavelet transforms are obtained. Moreover, some asymptotic results for the both transforms of the <i>m</i>-th derivative of the Dirac delta distribution are given.</p>

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Asymptotic results for the Stockwell and wavelet transforms of derivative Lizorkin distributions

  • 期刊论文

  • 发表日期：

    2025年11月7日

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  • Jasmina Veta Buralieva

摘要

Several Abelian- and Tauberian-type results characterizing the quasiasymptotics of the m-th derivative of Lizorkin distributions in terms of their Stockwell and wavelet transforms are obtained. Moreover, some asymptotic results for the both transforms of the m-th derivative of the Dirac delta distribution are given.