Local operators between spaces of ultradifferentiable functions and ultradistributions

DOI10.1007/BF01168588zbMath0576.46015OpenAlexW2074829491MaRDI QIDQ1065318

Ernst Albrecht, Michael M. Neumann

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154853

zbMATH Keywords

ultradistributionsseriescontinuity properties of local operatorsinfinite- order differential operatorsrepresentation of vector-valued ultradistributions by infiniterepresentation of vector-valued ultradistributions by infinite seriesspaces of infinitely differentiable functions or distributions orspaces of infinitely differentiable functions or distributions or ultradistributions

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Linear operators on function spaces (general) (47B38) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (2)

Automatic continuity of generalized local linear operators ⋮ Local operators on \(C^p\)

Cites Work

• Automatic continuity of generalized local linear operators
• Beitrag zum Divisionsproblem für Ultradistributionen und ein Fortsetzungssatz
• Einführung in die Theorie der lokalkonvexen Räume
• Linear partial differential operators and generalized distributions
• Double closed-graph theorem for topological linear spaces
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local operators between spaces of ultradifferentiable functions and ultradistributions