Microfunctions at the boundary and mild microfunctions
type: Item
instance of: scholarly article
title: Microfunctions at the boundary and mild microfunctions
zbMATH Open document ID: 0702.35004
author: Pierre Schapira
author: Giuseppe Zampieri
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1988-01-01T00:00:00Z
review text: The stalk of \(R\Gamma_ Z\mu \hom (N_{\Omega},{\mathcal F})\) is calculated where \(\Omega\) is a convex (up to diffeomorphism) open subset of a closed submanifold M of a real \(C^{\infty}\) manifold X, Z is a closed proper cone of \(T^*X\), \({\mathcal F}\) is the derived category of bounded complexes of sheaves of abelian groups on X, \(\mu\) hom(,) is a functor introduced by \textit{M. Kashiwara} and the first author [Microlocal study of sheaves, Astérisque 128 (1985; Zbl 0589.32019)]. As an application it is shown how to recover by a functorial way the theory of mild microfunctions due to K. Kataoka.
Mathematics Subject Classification ID: 35A27
Mathematics Subject Classification ID: 32C05
Mathematics Subject Classification ID: 46F15
Mathematics Subject Classification ID: 32A45
Mathematics Subject Classification ID: 18F99
zbMATH DE Number: 4150743
zbMATH Keywords: singular spectrum
zbMATH Keywords: stalk
zbMATH Keywords: sheaves
zbMATH Keywords: mild microfunctions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195174864
OpenAlex ID: W2014048533
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DOI: 10.2977/PRIMS/1195174864
description: scientific article; zbMATH DE number 4150743