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Rational Hadamard products via Quantum Diagonal Operators
Published 20 Oct 2008 in cs.SC, math-ph, math.CO, and math.MP | (0810.3641v1)
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 $\C[[z]]$.
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