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arXiv · 1906.06232

Asymptotic boundedness and moment asymptotic expansion in ultradistribution spaces

Lenny Neyt·Jasson Vindas
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Abstract

We obtain structural theorems for the so-called S-asymptotic and quasiasymptotic boundedness of ultradistributions. Using these results, we then analyze the moment asymptotic expansion (MAE), providing a full characterization of those ultradistributions satisfying this asymptotic formula in the one-dimensional case. We also introduce and study a uniform variant of the MAE.

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BibTeXRIS

Lenny Neyt, Jasson Vindas. 2019-06-14. Asymptotic boundedness and moment asymptotic expansion in ultradistribution spaces. https://doi.org/10.2298/aadm191023021n

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