Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions
type: Item
instance of: scholarly article
title: Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions
zbMATH Open document ID: 0851.46030
author: Soon-Yeong Chung
author: Dohan Kim
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1996-05-14T00:00:00Z
review text: Summary: Every positive definite Fourier hyperfunction is a Fourier transform of a positive and infra-exponentially tempered measure, which is the generalized Bochner-Schwartz theorem for the Fourier hyperfunctions. To prove this we characterize the distributions with exponential growth via the heat kernel method.
Mathematics Subject Classification ID: 46F15
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46F05
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 878502
zbMATH Keywords: positive definite Fourier hyperfunction
zbMATH Keywords: Fourier transform
zbMATH Keywords: infra-exponentially tempered measure
zbMATH Keywords: generalized Bochner-Schwartz theorem
zbMATH Keywords: exponential growth
zbMATH Keywords: kernel method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195163720
OpenAlex ID: W2046634904
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DOI: 10.2977/PRIMS/1195163720
description: scientific article; zbMATH DE number 878502