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

页码：596 / 610

页数：15

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