Geodesic
Spectral Properties for Invertible Measure Preserving Transformations
Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 806-811

Voir la notice de l'article provenant de la source Cambridge University Press

An invertible measure preserving transformation T on the unit interval I generates a unitary operator U on the space L2(I) of Lebesque square integrable functions given by (Uf)(x) = f(Tx) for all f in L2(I) and x in I. By definition for all f , g in L2(I), the bar denoting complex conjugation. 
Belley, Jean-Marc. Spectral Properties for Invertible Measure Preserving Transformations. Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 806-811. doi: 10.4153/CJM-1973-082-1
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