Differential algebras of generalised functions with dense singularities
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DOI: 10.2989/16073606.2017.1377778
Abstract: Abstract It is shown how chains of algebras of generalised functions may be used to construct algebras of generalised functions that are able to deal with larger classes of singularities than each of the constituent… read more here.
Keywords: dense singularities; differential algebras; algebras generalised; functions dense ... See more keywords
Dense and σ-porous subsets in some families of cliquish functions
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2019.1672823
Abstract: Abstract A function f: ℝ → ℝ is internally cliquish (internally quasi-continuous) if it is cliquish (quasi-continuous) and the set of discontinuity points of f is nowhere dense. We prove that the set of internally… read more here.
Keywords: dense porous; porous subsets; subsets families; quasi continuous ... See more keywords