Rational Hadamard products via Quantum Diagonal Operators
Symbolic Computation
2008-10-21 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We use the remark that, through Bargmann-Fock representation, diagonal operators of the Heisenberg-Weyl algebra are scalars for the Hadamard product to give some properties (like the stability of periodic fonctions) of the Hadamard product by a rational fraction. In particular, we provide through this way explicit formulas for the multiplication table of the Hadamard product in the algebra of rational functions in .
Cite
@article{arxiv.0810.3641,
title = {Rational Hadamard products via Quantum Diagonal Operators},
author = {Gérard Henry Edmond Duchamp and Silvia Goodenough and Karol A. Penson},
journal= {arXiv preprint arXiv:0810.3641},
year = {2008}
}