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ABSTRACT 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… Click to show full abstract
ABSTRACT 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.
Keywords:
lizorkin distributions;
tauberian theorems;
theorems stockwell;
transform lizorkin;
stockwell transform
Journal Title: Applicable Analysis
Year Published: 2020
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Journal Title: Applicable Analysis
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!