Stratified Whitney jets and tempered ultradistributions on the subanalytic site

DOI10.24033/bsmf.2612zbMath1259.46031arXiv0903.1714OpenAlexW2963958684MaRDI QIDQ2880696

Naofumi Honda, Giovanni Morando

Publication date: 14 April 2012

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1714

zbMATH Keywords

tempered ultradistributionssheaves on subanalytic sitesWhitney jets

Mathematics Subject Classification ID

Jets in global analysis (58A20) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Sheaves of differential operators and their modules, (D)-modules (32C38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Cites Work

• Tempered solutions of \(\mathcal D\)-modules on complex curves and formal invariants
• The Riemann-Hilbert problem for holonomic systems
• Semianalytic and subanalytic sets
• On the reconstruction theorem of holonomic modules in the Gevrey classes
• Differential equations with polynomial coefficients
• Quelques théorème de décomposition des ultradistributions
• Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
• Microlocalization of subanalytic sheaves
• Moderate and formal cohomology associated with constructible sheaves
• Sur les ultra-distributions
• Sur le problème de la division
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