Asymptotic Analysis for Generalized Functions Using Frames
摘要
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.