TY - JOUR
T1 - Reproducing kernel hilbert spaces generated by the binomial coefficients
AU - Alpay, Daniel
AU - Jorgensen, Palle
N1 - Publisher Copyright:
© 2015 University of Illinois.
PY - 2014/6/1
Y1 - 2014/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84955242724&partnerID=8YFLogxK
U2 - 10.1215/ijm/1436275494
DO - 10.1215/ijm/1436275494
M3 - Article
AN - SCOPUS:84955242724
SN - 0019-2082
VL - 58
SP - 471
EP - 495
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 2
ER -