Rational Hadamard products via Quantum Diagonal Operators

Rational Hadamard products via Quantum Diagonal Operators

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 th...

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Hauptverfasser: Duchamp, Gérard Henry Edmond, Goodenough, Silvia, Penson, Karol A
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science - Symbolic Computation
Mathematics - Combinatorics
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Zusammenfassung: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 $\C[[z]]$.
DOI:10.48550/arxiv.0810.3641