Maximal closed ideals of the Colombeau algebra of generalized functions

DOI10.1007/s00605-020-01472-xzbMath1476.54013OpenAlexW3096652135MaRDI QIDQ2220387

Yanyan Li

Publication date: 22 January 2021

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

Full work available at URL: https://doi.org/10.1007/s00605-020-01472-x

zbMATH Keywords

compactificationmaximal idealColombeau algebrageneralized funtions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Algebraic properties of function spaces in general topology (54C40) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (2)

Off-diagonal condition ⋮ A nonlinear theory of generalized functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A nonlinear theory of generalized functions.
• Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
• Generalized solutions to conservation laws
• An embedding of Schwartz distributions in the algebra of asymptotic functions
• Topology on asymptotic algebras of generalized functions and applications
• 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
• Algebras of generalized functions with smooth parameter dependence
• On a hyperbolic system with a compatible quadratic
• Algebraic and Geometric Theory of the Topological Ring of Colombeau Generalized Functions
• Ideals in the Ring of Colombeau Generalized Numbers
• About the theory of mnemofunctions and its
• Asymptotic scales-asymptotic algebras
• Some remarks on functoriality of Colombeau's construction; topological and microlocal aspects and applications
• Characterization of colombeau generalized functions by their pointvalues
• Sequence spaces with exponent weights. Realizations of Colombeau type algebras
• Asymptotic Ideals (Ideals in the Ring of Colombeau Generalized Constants with Continuous Parametrization)

This page was built for publication: Maximal closed ideals of the Colombeau algebra of generalized functions