Autocorrelation scaling and Fourier transform of non-autonomous systems. (Q5927937)
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scientific article; zbMATH DE number 1581369
| Language | Label | Description | Also known as |
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| English | Autocorrelation scaling and Fourier transform of non-autonomous systems. |
scientific article; zbMATH DE number 1581369 |
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Autocorrelation scaling and Fourier transform of non-autonomous systems. (English)
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25 March 2001
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Upper bounds for the (strong) Fourier transform, of a rather general sequence of unitary operators, are related to the uniform \(\alpha\)-Hölder continuity of its autocorrelation measure. It is a natural generalization of the ''Dynamical Bombieri-Taylor Conjecture''. Immediate applications include driven quantum systems, classical and quantum harmonic oscillators, and non-autonomous twisted generalized random walks in Hilbert spaces.
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