arXiv:2404.04468 Abstract | arXiv Analytics

arXiv:2404.04468 [math.FA]Abstract References Reviews Resources

Asymptotic analysis for generalized functions using frames

Jasmina Veta Buralieva, Diana T. Stoeva, Katerina Hadzi-Velkova Saneva, Sanja Atanasova

Published 2024-04-06Version 1

This paper is a short overview of the main Abelian- and Tauberian-type results from [4, 14, 26] regarding the asymptotic analysis of different classes of generalized functions in terms of appropriate frames. The Tauberian-type results provide a comprehensive characterization of the quasiasymptotic and S-asymptotic properties of distributions.

Categories: math.FA

Subjects: 41A60, 26A12, 46F05, 42C15

Keywords: asymptotic analysis, generalized functions, tauberian-type results, short overview, appropriate frames

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