Kruse, KarstenKarstenKruse2022-01-032022-01-032022-03Functiones et Approximatio : Commentarii Mathematici 66 (1): 59-117 (2022-03)http://hdl.handle.net/11420/11378We 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.en0208-65732022159117Faculty of Mathematics and Computer Science, Adam Mickiewicz Universityasymptotic Fourier transformasymptotic Laplace transformvector-valued hyperfunctionMathematikJournal Article10.7169/facm/19552104.02682Other