On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators
type: Item
instance of: scholarly article
title: On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators
zbMATH Open document ID: 0582.58034
author: Yoshiaki Maeda
author: Hideki Omori
author: Osamu Kobayashi
author: Akira Yoshioka
published in: Tokyo Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In this paper, we prove that the group of invertible Fourier-integral operators of order 0 is a regular Fréchet-Lie group with the Lie algebra \(\sqrt{-1}{\mathcal P}^ 1\), where \({\mathcal P}^ 1\) is the totality of pseudo-differential operators of order one with the real principal symbols. As stated in the preface of \textit{H. Omori}, \textit{Y. Maeda} and \textit{A. Yoshioka}, ibid. 3, 353-390 (1980; Zbl 0461.58003), this is the main purpose of this series. So, this paper is the final one of our series.
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 3932065
zbMATH Keywords: group of invertible Fourier-integral operators of order 0
zbMATH Keywords: pseudo- differential operators of order one
zbMATH Keywords: real principal symbols
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270151569
OpenAlex ID: W2029385401
Wikidata QID: Q115219782
DOI: 10.3836/TJM/1270151569
description: scientific article; zbMATH DE number 3932065