Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Publikationstyp
Journal Article
Date Issued
2022-03
Sprache
English
Author(s)
Kruse, Karsten  orcid-logo
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/11378
Journal
Functiones et approximatio : commentarii mathematici  
Volume
66
Issue
1
Start Page
59
End Page
117
Citation
Functiones et Approximatio : Commentarii Mathematici 66 (1): 59-117 (2022-03)
Publisher DOI
10.7169/facm/1955
Scopus ID
2-s2.0-85128623905
ArXiv ID
2104.02682
Publisher
Faculty of Mathematics and Computer Science, Adam Mickiewicz University
Peer Reviewed
true
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.
Subjects
asymptotic Fourier transform
asymptotic Laplace transform
vector-valued hyperfunction
DDC Class
510: Mathematik
Funding(s)
Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen  
Funding Organisations
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".