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Reproducing kernel Hilbert spaces generated by the binomial coefficients

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.

preprint2014arXivOpen access
Daniel AlpayPalle Jorgensen
math.CVmath.FA
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Daniel AlpayPalle Jorgensen

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