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Results tagged with harmonic-analysis
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user 103342
Harmonic analysis is a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean harmonic analysis (eg, Littlewood-Paley theory, singular integrals). It also covers harmonic analysis on tube domains, as well as the study of eigenvalues and eigenvectors of the Laplacian on domains, manifolds and graphs.
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Invariant function for Koopman operator of measure-class preserving tranformation
A first remark is that in your argument for $U_{T,1}$, you used the fact that $U_{T,1}$ is the dual operator of the Koopman operator. This is true when $T$ is invertible, but the formula in the noninv …
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