scientific article

zbMath0790.46055MaRDI QIDQ3139603

Barry Simon, Leonard Gross, E. Brian Davies

Publication date: 11 November 1993

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Schrödinger operatorslogarithmic Sobolev inequalitiesselfadjoint operatorprobability measure spaceultracontractivityhypercontractivityessential selfadjointnesshypercontractive semigroupselfadjointness for the spatially cut off quantum field Hamiltonians

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of functional analysis in quantum physics (46N50)

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Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality ⋮ Higher order coercive inequalities ⋮ A supersolutions perspective on hypercontractivity ⋮ Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles ⋮ Logarithmic Sobolev inequalities on loop groups ⋮ Dobrushin uniqueness theorem and logarithmic Sobolev inequalities ⋮ Regularization under diffusion and anticoncentration of the information content ⋮ A central limit theorem for operators ⋮ Log-Sobolev inequalities for infinite one-dimensional lattice systems ⋮ Coercive inequalities on metric measure spaces ⋮ Logarithmic Sobolev inequality for some models of random walks ⋮ Gaussian kernels have only Gaussian maximizers ⋮ Bounds on the Segal-Bargmann transform of \(L^p\) functions

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