Abstract.
Upper bounds for the (strong) Fourier transform,of a rather general sequence of unitary operators, are related to the uniform α-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.
Article PDF
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Author information
Authors and Affiliations
Additional information
Submitted 10/09/99, accepted 31/05/2000
Rights and permissions
About this article
Cite this article
de Oliveira, C. Autocorrelation Scaling and Fourier Transform of Non-Autonomous Systems. Ann. Henri Poincaré 1, 885–894 (2000). https://doi.org/10.1007/PL00001018
Issue Date:
DOI: https://doi.org/10.1007/PL00001018