A New Approach to Diffeomorphism Invariant Algebras of Generalized Functions
From MaRDI portal
Publication:2949793
DOI10.1017/S0013091514000091zbMath1333.46042arXiv1303.3102OpenAlexW2963047881MaRDI QIDQ2949793
Publication date: 2 October 2015
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.3102
Operations with distributions and generalized functions (46F10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Differentiability questions for infinite-dimensional manifolds (58B10)
Related Items
On regularization of vector distributions on manifolds ⋮ The functional analytic foundation of Colombeau algebras ⋮ Distributional metrics and the action principle of Einstein–Hilbert gravity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized solutions of nonlinear parabolic equations with distributions as initial conditions
- Generalized functions and multiplication of distributions on \({\mathcal C}^ \infty\) manifolds
- A global theory of algebras of generalized functions
- Twisting null geodesic congruences and the Einstein–Maxwell equations
- MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES
- A Multivariate Faa di Bruno Formula with Applications
- Point value characterizations and related results in the full Colombeau algebras \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${{\mathcal {G}}^e(\Omega )}$\end{document} and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${{\mathcal {G}}^d(\Omega )}$\end{document}
This page was built for publication: A New Approach to Diffeomorphism Invariant Algebras of Generalized Functions