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Zeitschrift für Analysis und ihre Anwendungen

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Volume 19, Issue 2, 2000, pp. 315–338
DOI: 10.4171/ZAA/953

Published online: 2000-06-30

Umbral Calculus and Cancellative Semigroup Algebras

V.V. Kisil[1]

(1) University of Leeds, UK

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.

Keywords: Cancellative semigroups, umbral calculus, harmonic analysis, tokens, convolution algebras, integral transforms

Kisil V.V.: Umbral Calculus and Cancellative Semigroup Algebras. Z. Anal. Anwend. 19 (2000), 315-338. doi: 10.4171/ZAA/953