Asymptotic Analysis for Generalized Functions Using Frames

Veta Buralieva, Jasmina and Todorova Stoeva, Diana and Hadzi-Velkova Saneva, Katerina and Atanasova, Sanja (2024) Asymptotic Analysis for Generalized Functions Using Frames. In: Chatzakou, M., Ruzhansky, M., Stoeva, D. (eds) Women in Analysis and PDE. GFOW APDEGS 2022 2021. Trends in Mathematics, vol. 5 . Birkhäuser, Cham., pp. 89-98. ISBN 978-3-031-57004-9 / 978-3-031-57005-6 (online)

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Abstract

This paper is a short overview of the main Abelian- and Tauberian-type results from Saneva and Vindas (J Math Anal Appl 370:534–554, 2010); Kostadinova et al. (Appl Anal Disctrete Math 10:292–307, 2016); Buralieva et al. (Polynomially localized frames and quasiasymptotics of distributions, 2023, preprint) 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.

Item Type: Book Section
Subjects: Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Jasmina Veta Buralieva
Date Deposited: 29 Oct 2024 13:28
Last Modified: 29 Oct 2024 13:28
URI: https://eprints.ugd.edu.mk/id/eprint/34911

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