Tauberian theorems for the Stockwell transform of Lizorkin distributions

被引：8
|
作者：
Saneva, Katerina Hadzi-Velkova [1 ]
Atanasova, Sanja [1 ]
Buralieva, Jasmina Veta [2 ]
机构：
[1] Univ Ss Cyril & Methodius, Fac Elect Engn & Informat Technol, Skopje, North Macedonia
[2] Goce Delchev Univ Stip, Fac Comp Sci, Stip, North Macedonia
来源：
APPLICABLE ANALYSIS | 2020年 / 99卷 / 04期
关键词：
Francisco Sayas; Stockwell transform; distributions; quasiasymptotic behavior; Abelian and Tauberian theorems;
D O I：
10.1080/00036811.2018.1506104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the continuity of the Stockwell transform and the corresponding synthesis operator on the spaces of highly localized test functions over and , respectively. Using the obtained continuity results, we define and study the Stockwell transform on the space of Lizorkin distributions . We also provide Abelian and Tauberian type results relating the asymptotic behavior of distributions with the asymptotics of their Stockwell transform.
引用
收藏
页码：596 / 610
页数：15
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