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arXiv · 2104.02682

Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Karsten Kruse
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Abstract

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, B\"aumer, Lumer and Neubrander and Langenbruch.

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BibTeXRIS

Karsten Kruse. 2021-04-06. Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions. https://doi.org/10.7169/facm%2F1955

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