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What is the " Natural" invariant norm on the space of polynomials in a complex variable $z$? And can anyone give me an idea as to how it is deduced?

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In what sense do you want it to be natural and invariant? –  Patrick Da Silva Jul 3 '13 at 14:39
To preserve SO(3) invariance. –  Nishanth Jul 8 '13 at 17:23

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