2002/01/02 by Vladimir V. Kisil
Mathematics · Physics and Astronomy · #math.FA #math-ph #math.CO #math.MP #msc:43A20 #msc:05A40 #msc:81S40
published as Func. An.: Proc. of the Ukr. Math. Congress-2001, Kiev, 2002. p. 146-155 · LaTeX, 10 pages, 3 PS figures
arxiv created 2002/01/02 · arxiv updated 2009/11/30
We give a brief account of a construction called tokens here, which is significant in algebra, analysis, combinatorics, and physics. Tokens allow to express a semigroup on one set via a semigroup convolution on another set. Therefore tokens are similar to intertwining operators but are more flexible. Keywords: semigroups, hypergroups, tokens, poset, multiplicative functions, polynomial sequence of binomial type, integral kernel, wavelets, refinement equation, special functions, quantum propagator, path integral, quantum computing.