标题： 分布分数Stockwell变换和分布分数小波变换的渐近结果 显示英文标题

标题： Asymptotic results for the distributional fractional Stockwell and fractional wavelet transforms

摘要： 我们提供了一些阿贝尔和塔伯森结果，用于通过Stockwell变换表征Lizorkin分布的准渐近行为。 我们证明了分数小波变换及其对应的合成算子在Schwartz空间及其对偶空间上的连续性。 此外，我们建立了分数Stockwell变换与分数小波变换之间的联系，并提供了分布分数小波变换的一些渐近结果。 显示英文摘要

摘要： We provide some Abelian and Tauberian results characterizing the quasiasymptotic behavior of Lizorkin distributions in terms of their Stockwell transform. We prove the continuity of the fractional wavelet transform and the corresponding synthesis operator on the Schwartz spaces and their duals, respectively. Additionally, we establish a connection between fractional Stockwell and fractional wavelet transforms and provide some asymptotic results for the distributional fractional wavelet transform.