Structural theorems for quasiasymptotics of ultradistributions

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 Gel...

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Hauptverfasser:	Neyt, Lenny, Vindas Diaz, Jasson
Format:	Artikel
Sprache:	eng
Schlagworte:	DISTRIBUTIONS Mathematics and Statistics Quasiasymptotic behavior regularly varying functions ultradistributions
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Zusammenfassung:	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.
ISSN:	0921-7134 1875-8576