Algebras of generalized functions with smooth parameter dependence
DOI10.1017/S0013091510001410zbMath1241.46024arXiv1010.5752OpenAlexW3106017416WikidataQ59310089 ScholiaQ59310089MaRDI QIDQ3116821
Michael Kunzinger, Annegret Y. Burtscher
Publication date: 12 February 2012
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.5752
Distributions and generalized functions on nonlinear spaces (46T30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Ordered rings (13J25) Topological algebras, normed rings and algebras, Banach algebras (46H99)
Related Items (7)
Cites Work
- Unnamed Item
- Isomorphisms of algebras of generalized functions
- Positivity and positive definiteness in generalized function algebras
- A nonlinear theory of generalized functions.
- Ring theory and pointfree topology.
- Generalized functions valued in a smooth manifold
- Topological structures in Colombeau algebras: Topological \(\widetilde{\mathbb C}\)-modules and duality theory
- Topological structures in Colombeau algebras: Investigation of the duals of \(\mathcal G_c(\Omega)\), \(\mathcal G(\Omega)\) and \(\mathcal G_{\mathcal S}(\mathbb R^n)\)
- SOME STRUCTURAL PROPERTIES OF THE TOPOLOGICAL RING OF COLOMBEAU'S GENERALIZED NUMBERS
- Hilbert $\widetilde{\mathbb{C}}$-modules: Structural properties and applications to variational problems
- Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II
- Generalized pseudo-Riemannian geometry
- Sheaves of nonlinear generalized functions and manifold-valued distributions
- On Lorentz geometry in algebras of generalized functions
- Algebraic and Geometric Theory of the Topological Ring of Colombeau Generalized Functions
- Ideals in the Ring of Colombeau Generalized Numbers
- Intrinsic Characterization of Manifold-Valued Generalized Functions
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