Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Karsten Kruse

doi:10.7169/FACM/1955

Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Karsten Kruse^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

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, Bäumer, Lumer and Neubrander, and Langenbruch.

Original language	English
Pages (from-to)	59-117
Number of pages	59
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	66
Issue number	1
Early online date	22 Dec 2021
DOIs	https://doi.org/10.7169/FACM/1955
Publication status	Published - Mar 2022
Externally published	Yes

Keywords

asymptotic Fourier transform
asymptotic Laplace transform
vector-valued hyperfunction
NLA

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10.7169/FACM/1955

Cite this

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Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Abstract

Keywords

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