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- W2765770383 abstract "We prove two results about Wigner distributions. Firstly, that the Wigner transform is the only sesquilinear map $mathcal{S}(mathbb{R}^n) times mathcal{S}(mathbb{R}^n) to mathcal{S}(mathbb{R}^{2n})$ which is bounded and covariant under phase-space translations and linear symplectomorphisms. Consequently, the Wigner distributions form the only set of quasidistributions which is invariant under linear symplectic transformations. Secondly, we prove that the maximal group of (linear or non-linear) coordinate transformations that preserves the set of (pure or mixed) Wigner distributions consists of the translations and the linear symplectic and antisymplectic transformations." @default.
- W2765770383 created "2017-11-10" @default.
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- W2765770383 date "2019-02-05" @default.
- W2765770383 modified "2023-09-24" @default.
- W2765770383 title "Quantum mappings acting by coordinate transformations on Wigner distributions" @default.
- W2765770383 doi "https://doi.org/10.4171/rmi/1056" @default.
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