Umbral Calculus and Cancellative Semigroup Algebras
Copyright policy )Umbral Calculus and Cancellative Semigroup Algebras
We describe some connections between three different fields: combinatorics (umbral calculus), functional analysis (linear functionals and operators) and harmonic analysis (convolutions on group-like structures). Systematic usage of cancellative semigroups, their convolution algebras, and tokens between them provides a common language for description of objects from these three fields.
convolutions, cancellative semigroups, operators, 05A40, 20N++, umbral calculus, convolution algebras, functional analysis, Functional Analysis (math.FA), Mathematics - Functional Analysis, 43A20, combinatorics, harmonic analysis, FOS: Mathematics, Umbral calculus, linear functionals, 43A20; 05A40, 20N++, \(L^1\)-algebras on groups, semigroups, etc.
convolutions, cancellative semigroups, operators, 05A40, 20N++, umbral calculus, convolution algebras, functional analysis, Functional Analysis (math.FA), Mathematics - Functional Analysis, 43A20, combinatorics, harmonic analysis, FOS: Mathematics, Umbral calculus, linear functionals, 43A20; 05A40, 20N++, \(L^1\)-algebras on groups, semigroups, etc.
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!