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Search: MSC category 11K70 ( Harmonic analysis and almost periodicity )

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1. CMB 2002 (vol 45 pp. 123)

Moody, Robert V.
 Uniform Distribution in Model Sets We give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the `physical') space and its internal space. We prove, assuming only that the window defining the model set is measurable with compact closure, that almost surely the distribution of points in any model set from such a family is uniform in the sense of Weyl, and almost surely the model set is pure point diffractive. Categories:52C23, 11K70, 28D05, 37A30

2. CMB 1998 (vol 41 pp. 86)

Lubinsky, D. S.
 On \lowercase{$q$}-exponential functions for \lowercase{$|q| =1$} We discuss the $q$-exponential functions $e_q$, $E_q$ for $q$ on the unit circle, especially their continuity in $q$, and analogues of the limit relation $\lim_{q\rightarrow 1}e_q((1-q)z)=e^z$. Keywords:$q$-series, $q$-exponentialsCategories:33D05, 11A55, 11K70