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arXiv · 1212.1564

Reproducing kernel Hilbert spaces generated by the binomial coefficients

Daniel Alpay·Palle Jorgensen
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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.

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Daniel Alpay, Palle Jorgensen. 2014-12-17. Reproducing kernel Hilbert spaces generated by the binomial coefficients. https://arxiv.org/abs/1212.1564

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