Structural theorems for quasiasymptotics of ultradistributions
Lenny Neyt, Jasson Vindas
TL;DR
This paper establishes comprehensive structural theorems for the quasiasymptotic behavior of non-quasianalytic ultradistributions, linking their properties with regularizations and Gelfand-Shilov spaces.
Contribution
It provides the first complete structural theorems for quasiasymptotics of non-quasianalytic ultradistributions, enhancing understanding of their asymptotic behavior.
Findings
Structural theorems for quasiasymptotics of ultradistributions
Descriptions of regularizations at the origin
Connections with Gelfand-Shilov spaces
Abstract
We provide complete structural theorems for the so-called quasiasymptotic behavior of non-quasianalytic ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand-Shilov type spaces.
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