Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions
نویسندگان
چکیده
We study Fourier and Laplace transforms for hyperfunctions with values in a complex locally convex Hausdorff space. Since any hyperfunction wide class of spaces can be extended to hyperfunction, this gives simple notions asymptotic vector-valued hyperfunctions, which improves the existing models Komatsu, B\"aumer, Lumer Neubrander Langenbruch.
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ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2022
ISSN: ['0208-6573', '2080-9433']
DOI: https://doi.org/10.7169/facm/1955