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Ukrainian Mathematical Journal
Article . 1997 . Peer-reviewed
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Article . 1997
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Article . 1997
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On Hausdorff-Young inequalities for quantum fourier transformations

On Hausdorff-Young inequalities for quantum Fourier transforms
Authors: Hudson, R.L.;

On Hausdorff-Young inequalities for quantum fourier transformations

Abstract

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.

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze