Reproducing kernel Hilbert spaces generated by the binomial coefficients
Complex Variables
2014-12-19 v3 Functional Analysis
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 and with the quantum case.
Cite
@article{arxiv.1212.1564,
title = {Reproducing kernel Hilbert spaces generated by the binomial coefficients},
author = {Daniel Alpay and Palle Jorgensen},
journal= {arXiv preprint arXiv:1212.1564},
year = {2014}
}
Comments
Revised version, to appear in the Illinois Journal of Mathematics in 2015