The backward shift on H^4 has norm φ^{1/4} (φ the golden ratio) and its extremal functions are multiples of inner functions shifted by a specific constant.
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The norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$
The backward shift on H^4 has norm φ^{1/4} (φ the golden ratio) and its extremal functions are multiples of inner functions shifted by a specific constant.