Generalized integral transforms and asymptotics

Veta Buralieva, Jasmina (2022) Generalized integral transforms and asymptotics. In: Generalized Functions Online Workshop (2nd edition), 12 May 2022.

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Abstract

Generalized integral transforms, as one of the powerful tools in mathematical physics, has been elaborated in the last fifty years. Their asymptotic analysis through the asymptotic behavior of distributions is also an important research subject, that took attention on different authors. Obviously, it took our attention too. So, from the generalized asymptotic analysis we give brief summary about quasiasymptotics and S - asymptotics, and some of their properties. But for the integral transform, first we make a short review of known results for already extended integral transforms on distribution spaces and their asymptotics. Then, we provide the results about the extension of the directional short-time Fourier transform and Stockwell transform on the space of distributions. Their asymptotic behavior is illustrated through several Abelian and Tauberian type results.

Item Type:	Conference or Workshop Item (Speech)
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Jasmina Veta Buralieva
Date Deposited:	02 Feb 2023 10:12
Last Modified:	02 Feb 2023 10:12
URI:	https://eprints.ugd.edu.mk/id/eprint/31207

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