Gaussian hypercontractivity revisited

DOI10.1016/0022-1236(90)90053-NzbMath0713.46050OpenAlexW2036919351MaRDI QIDQ749833

J. Martin Lindsay

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90053-n

zbMATH Keywords

convolutionGaussian measureconvolution-type products on Fock spaceFermi casehypercontractivity for second quantised contractions

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Quantization in field theory; cohomological methods (81T70) Applications of functional analysis in quantum physics (46N50) Measures and integration on abstract linear spaces (46G12)

Related Items (6)

Hypercontractivity in non-commutative holomorphic spaces ⋮ The equivalence of hypercontractivity and logarithmic Sobolev inequality for \(q (-1 \leq q \leq 1)\) -Ornstein-Uhlenbeck semigroup ⋮ Non-commutative symmetric Markov semigroups ⋮ Hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup ⋮ Logarithmic Sobolev inequalities in non-commutative algebras ⋮ Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities

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