Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions
Functional Analysis
2022-04-05 v2
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.
Cite
@article{arxiv.2104.02682,
title = {Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions},
author = {Karsten Kruse},
journal= {arXiv preprint arXiv:2104.02682},
year = {2022}
}