Homogeneously polyanalytic kernels on the unit ball and the Siegel domain

Christian Rene Leal-Pacheco, Egor A. Maximenko, Gerardo Ramos-Vazquez

We prove that the homogeneously polyanalytic functions of total order $m$, defined by the system of equations ${\overline{D}}^{(k_1,\dots ,k_n)}f=0$ with $k_1+\cdots +k_n=m$, can be…