Journal article
Reproducing kernel Hilbert spaces generated by the binomial coefficients
Illinois journal of mathematics, Vol.58(2), pp.471-495
01/01/2014
DOI: 10.1215/ijm/1436275494
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.
Details
- Title: Subtitle
- Reproducing kernel Hilbert spaces generated by the binomial coefficients
- Creators
- Daniel AlpayPalle Jorgensen
- Resource Type
- Journal article
- Publication Details
- Illinois journal of mathematics, Vol.58(2), pp.471-495
- DOI
- 10.1215/ijm/1436275494
- ISSN
- 0019-2082
- eISSN
- 1945-6581
- Language
- English
- Date published
- 01/01/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984240869202771
Metrics
37 Record Views