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Spectral Properties for Invertible Measure Preserving Transformations
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1973
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