Abstract
We study a reproducing kernel Hilbert space of functions defined on the positive integers and associated to the binomial coefficients. We introduce two transforms, which allow us to develop a related harmonic analysis in this Hilbert space. Finally, we mention connections with the theory of discrete analytic functions, statistics, and with the quantum case.
| Original language | English |
|---|---|
| Pages (from-to) | 471-495 |
| Number of pages | 25 |
| Journal | Illinois Journal of Mathematics |
| Volume | 58 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jun 2014 |
ASJC Scopus subject areas
- General Mathematics
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