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This question may look trivial, but I wonder of any results related to my question. I consider the following polynomial: \begin{equation} p(\omega) = p_k(\omega) + Y_2(\omega) r_k(\omega), \, w\in \mathbb{R}^2, \, k\geq 1, \end{equation} where $ p_k, \, r_k$ are real-valued homogeneous polynomials of degree $ k$ , $ Y_2(\omega)$ is a harmonic polynomial (whichRead more