A proof of the Paley--Wiener theorem for hyperfunctions with a convex compact support by the heat kernel method
type: Item
instance of: scholarly article
title: A proof of the Paley--Wiener theorem for hyperfunctions with a convex compact support by the heat kernel method
zbMATH Open document ID: 1086.46030
author: Masanori Suwa
author: Kunio Yoshino
published in: Tokyo Journal of Mathematics
publication date: 2005-01-04T00:00:00Z
review text: \textit{T.~Matsuzawa} [Nagoya Math.\ J.\ 108, 53--66 (1987; Zbl 0636.46047); Trans.\ Am.\ Math.\ Soc. 313, No.~2, 619--654 (1989; Zbl 0681.46042)] showed that every generalized function can be characterized by the initial value of the solutions of the heat equation with some growth condition. This is called heat kernel method. Using this method, new proofs of the Paley-Wiener type theorem were given by several mathematicians. In the present paper, the authors prove a Paley-Wiener type theorem for hyperfunctions supported by a convex compact set by the heat kernel method.
Mathematics Subject Classification ID: 46F15
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 2124816
zbMATH Keywords: Paley-Wiener theorem
zbMATH Keywords: hyperfunction
zbMATH Keywords: heat kernel
reviewed by: Dohan Kim
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1244208472
OpenAlex ID: W1968758180
DOI: 10.3836/TJM/1244208472
description: scientific article; zbMATH DE number 2124816