Geodesic
On a function that realizes the maximal spectral type
Studia Mathematica, Tome 124 (1997) no. 1, pp. 1-7
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We show that for a unitary operator U on $L^2(X,μ)$, where X is a compact manifold of class $C^r$, $r ∈ ℕ ∪ {∞,ω}$, and μ is a finite Borel measure on X, there exists a $C^r$ function that realizes the maximal spectral type of U. 
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Krzysztof M. Frączek. On a function that realizes the maximal spectral type. Studia Mathematica, Tome 124 (1997) no. 1, pp. 1-7. doi: 10.4064/sm-124-1-1-7

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