Horizontal Fourier transform of the polyanalytic Fock kernel

Erick Lee-Guzmán, Egor A. Maximenko, Gerardo Ramos-Vazquez +1

Let $n,m\ge 1$ and $\alpha >0$. We denote by ${\mathcal{F}}_{\alpha ,m}$ the $m$-analytic Bargmann--Segal--Fock space, i.e., the Hilbert space of all $m$-analytic functions defined on $\mathbb{C…