JournalszaaVol. 19 , No. 2pp. 315–338

Umbral Calculus and Cancellative Semigroup Algebras

  • V.V. Kisil

    University of Leeds, UK
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Abstract

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 tokenstokens between them provides a common language for description of objects from these three fields.

Cite this article

V.V. Kisil, Umbral Calculus and Cancellative Semigroup Algebras. Z. Anal. Anwend. 19 (2000), no. 2 pp. 315–338

DOI 10.4171/ZAA/953