Fischer decompositions for entire functions and the Dirichlet problem for parabolas

H. Render, J. M. Aldaz

Let $P_{2k}$ be a homogeneous polynomial of degree $2k$ and assume that there exist $C>0$, $D>0$ and $\alpha \ge 0$ such that \begin{equation*} \left\langle P_{2k}f_{m},f_{m}\right\rangl…