Complex Hermite functions as Fourier-Wigner transform

Fatima Agorram, Arij Benkhadra, Amal El Hamyani +1

We prove that the complex Hermite polynomials H_{m,n} on the complex plane $\mathbb{C}$ can be realized as the Fourier-Wigner transform $\mathcal{V}$ of the well-known real Hermite…