Non-quasianalytic curves in Fréchet spaces

DOI10.1007/S00605-010-0243-7zbMath1246.46038OpenAlexW41628597MaRDI QIDQ652550

Jordi Juan-Huguet

Publication date: 14 December 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0243-7

zbMATH Keywords

Fréchet spacesnon-quasianalytic classesproperty (DN)vector valued ultradifferentiable functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings
• Real analytic curves in Fréchet spaces and their duals
• Ultradifferentiable functions and Fourier analysis
• The convenient setting for real analytic mappings
• The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations
• A comparison of two different ways to define classes of ultradifferentiable functions
• Linear partial differential operators and generalized distributions
• Nonradial Hörmander algebras of several variables and convolution operators
• Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
• Parameter dependence of solutions of partial differential equations in spaces of real analytic functions
• On the Identity L(E, F) = LB(E, F) for Pairs of Locally Convex Spaces E and F
• Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions

This page was built for publication: Non-quasianalytic curves in Fréchet spaces