Reflexivity of the space of transversal distributions

DOI10.1007/s12220-023-01390-yarXiv2211.07257OpenAlexW4385450556MaRDI QIDQ6134553

J. Kališnik

Publication date: 22 August 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.07257

zbMATH Keywords

Fréchet spacesreflexive moduleshomomorphisms of modulesdistributions with compact supporttransversal distributions

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Derivatives of functions in infinite-dimensional spaces (46G05) Reflexivity and semi-reflexivity (46A25)

Related Items (1)

Locally convex bialgebroid of an action Lie groupoid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudodifferential calculus on a singular foliation
• On duality between étale groupoids and Hopf algebroids
• A Cartier-Gabriel-Kostant structure theorem for Hopf algebroids.
• About the convolution of distributions on groupoids
• Convolution bialgebra of a Lie groupoid and transversal distributions
• A groupoid approach to pseudodifferential calculi
• Sheaf coalgebras and duality.
• Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus
• Absolutely convex sets in barrelled spaces
• Automatic continuity of transversal distributions
• The convolution algebra of Schwartz kernels along a singular foliation

This page was built for publication: Reflexivity of the space of transversal distributions