Asymptotic Analysis of Generalized Functions through Some Generalized Integral Transforms and Frames
Asymptotic Analysis of Generalized Functions through Some Generalized Integral Transforms and Frames
Author(s): Jasmina Veta BuralievaSubject(s): Library and Information Science, Information Architecture, Electronic information storage and retrieval, ICT Information and Communications Technologies
Published by: Великотърновски университет „Св. св. Кирил и Методий”
Keywords: Quasiasymptotics; Stockwell transform; wavelet transform; directional short-time Fourier transform; frames; Abelian- and Tauberian-type results.
Summary/Abstract: Generalized asymptotics is an important research subject that has attracted the attention of manyauthors in diverse areas. In recent years it has become common to analyze the asymptotic behavior of distributions through the asymptotic behavior of some integral transforms or frames. Some Abelian- and Tauberian-type results from Buralieva et al. (Funct. Anal. Appl. 53:3-10, 2019); Buralieva et al. (Chatzakou et al. (eds) Women in Analysis and PDE, in the series “Research Perspectives Ghent Analysis and PDE Center” Birkhäuser, Cham, 2024); Buralieva (Funct. Anal. Appl. 57(1):29-39, 2023); and Buralieva (Asian-Eur. J. Math., 2025) for the quasiasymptotics of tempered and Lizorkin distributions through the asymptotics of the appropriate integral transforms and frames are presented.
Journal: Математика, компютърни науки и образование
- Issue Year: 9/2026
- Issue No: 1
- Page Range: 7-14
- Page Count: 8
- Language: English
