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I apologize if the following is trivial for experts in the field. If so, please feel free to refer me instead to any proper references. I would like to compute the spectrum of a known non-normal, ...

Fix $N>1$. Let $f\in C^{\infty}(\mathbb{R},\mathbb{R})$ be such that the composition operator via $$ \begin{aligned} C_f:C^{\infty}(\mathbb{R},\mathbb{R}) &\rightarrow C^{\infty}(\mathbb{R},\...