222 citations · 1.6k across the 117 of their papers we have counts for
3 papers · 2 filters
Quantizations from reproducing kernel spaces
S. Twareque Ali, Fabio Bagarello, Jean Pierre Gazeau
The purpose of this work is to explore the existence and properties of reproducing kernel Hilbert subspaces of $L^2(\C, \, d^2z/π)$ based on subsets of complex Hermite polynomials.…
Pisot q-Coherent states quantization of the harmonic oscillator
J. P. Gazeau, M. A. del Olmo
We revisit the quantized version of the harmonic oscillator obtained through a q-dependent family of coherent states. For each q, 0< q < 1, these normalized states form an overcomp…
Generating functions for generalized binomial distributions
H. Bergeron, E. M. F. Curado, J. P. Gazeau +1
In a recent article a generalization of the binomial distribution associated with a sequence of positive numbers was examined. The analysis of the nonnegativeness of the formal exp…