| Publisher DOI: | 10.7169/facm/1955 | arXiv ID: | 2104.02682 | Title: | Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions | Language: | English | Authors: | Kruse, Karsten  |
Keywords: | asymptotic Fourier transform; asymptotic Laplace transform; vector-valued hyperfunction | Issue Date: | Mar-2022 | Publisher: | Faculty of Mathematics and Computer Science, Adam Mickiewicz University | Source: | Functiones et Approximatio : Commentarii Mathematici 66 (1): 59-117 (2022-03) | Abstract (english): | We study Fourier and Laplace transforms for Fourier hyperfunctions with values in a complex locally convex Hausdorff space. Since any hyperfunction with values in a wide class of locally convex Hausdorff spaces can be extended to a Fourier hyperfunction, this gives simple notions of asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions, which improves the existing models of Komatsu, Bäumer, Lumer and Neubrander, and Langenbruch. |
URI: | http://hdl.handle.net/11420/11378 | ISSN: | 0208-6573 | Journal: | Functiones et approximatio : commentarii mathematici | Institute: | Mathematik E-10 | Document Type: | Article | Project: | Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen | Funded by: | Deutsche Forschungsgemeinschaft (DFG) | More Funding information: | K. Kruse dankt für die Unterstützung durch die Deutsche Forschungsgemeinschaft (DFG) im Rahmen des Graduiertenkollegs GRK 2583 "Modellierung, Simulation und Optimierung strömungsdynamischer Anwendungen". | Peer Reviewed: | Yes |
| Appears in Collections: | Publications without fulltext |
Show full item record
Add Files to Item
Note about this record
Cite this record
Export
Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.