量子对角算子的有理Hadamard积
Rational Hadamard products via Quantum Diagonal Operators
摘要：
利用Bargmann-Fock表示Heisenberg-Weyl代数的对角算子是Hadamard积的标量这一观点，给出了Hadamard积的有理分式性质（如周期函数的稳定性）.特别地，我们通过这种方式提供了显式公式的Hadamard乘积乘法表的有理函数代数$\C[[z]]$。
英文摘要：
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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