Why is it true that a differential operator $S$ on $\mathbb{R}^n$ commuting with translations and rotations must be of the form
$$S = \sum a_j \Delta^j $$
where the $a_j$ are constant coefficients ?
Why is it true that a differential operator $S$ on $\mathbb{R}^n$ commuting with translations and rotations must be of the form
$$S = \sum a_j \Delta^j $$
where the $a_j$ are constant coefficients ?
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