English

Asymptotic analysis for generalized functions using frames

Functional Analysis 2024-04-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2404.04468,
  title  = {Asymptotic analysis for generalized functions using frames},
  author = {Jasmina Veta Buralieva and Diana T. Stoeva and Katerina Hadzi-Velkova Saneva and Sanja Atanasova},
  journal= {arXiv preprint arXiv:2404.04468},
  year   = {2024}
}