
doi: 10.1007/bf02487247
Summary: The classical Hausdorff-Young inequality for the Fourier transformation is generalized to various quantum contexts involving noncommutative \(L^p\)-spaces based on translation-invariant traces.
Hausdorff-Young inequality, Noncommutative measure and integration, translation-invariant traces, non-commutative \(L_ p\)-spaces on von Neumann algebras, Noncommutative probability and statistics, ????????????, Finite-dimensional groups and algebras motivated by physics and their representations, Riesz-Thorin interpolation principle, Free probability and free operator algebras, Applications of functional analysis in quantum physics, Fourier-Weyl transform, Fourier transformation, Fourier-Plancherel isometry property, Abstract interpolation of topological vector spaces, Quantum stochastic calculus, noncommutative \(L^p\)-spaces, canonical commutation relations
Hausdorff-Young inequality, Noncommutative measure and integration, translation-invariant traces, non-commutative \(L_ p\)-spaces on von Neumann algebras, Noncommutative probability and statistics, ????????????, Finite-dimensional groups and algebras motivated by physics and their representations, Riesz-Thorin interpolation principle, Free probability and free operator algebras, Applications of functional analysis in quantum physics, Fourier-Weyl transform, Fourier transformation, Fourier-Plancherel isometry property, Abstract interpolation of topological vector spaces, Quantum stochastic calculus, noncommutative \(L^p\)-spaces, canonical commutation relations
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