Vladimir V. Kisil
Published 2002-01-02Version 1
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.
Comments: LaTeX, 10 pages, 3 PS figures
Journal: Func. An.: Proc. of the Ukr. Math. Congress-2001, Kiev, 2002. p. 146-155
Algebrability, non-linear properties, and special functions
Unions of cubes in $\mathbb{R}^{n}$, combinatorics in $\mathbb{Z}^{n}$ and the John-Nirenberg and John-Strömberg inequalities
The Regularity of Refinable Functions
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