Bjork-DEbrowere algebras topologies and comparison of regularities
Anatole Khelif, Dimitris Scarpalezos
TL;DR
This paper explores the properties of weight functions and their associated algebraic topologies, establishing structures similar to those in Colombeau algebra to advance understanding of regularities.
Contribution
It introduces new algebraic topological structures based on weight functions, paralleling Colombeau algebra, to analyze regularities in algebraic frameworks.
Findings
Established algebraic topological structures analogous to Colombeau algebra.
Analyzed properties of weight functions within the algebraic context.
Provided insights into regularity conditions in algebraic structures.
Abstract
In this paper we investigate properties of the family of weight functions and especiallyin the "weight function" model. We etablish in theintroduced algebra topological sharp structures analogous tothe ones introduced in Colombeau algebra.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Advanced Topology and Set Theory · Functional Equations Stability Results