Conditionally positive-definite functions in quantum probability theory
DOI10.1007/BF01095976zbMath0735.46044OpenAlexW2015647146MaRDI QIDQ1814450
Publication date: 25 June 1992
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01095976
functional limit theoremsGNS constructioncanonical representation of positive definite functionscontinuous measurements in quantum mechanicsLévy-Khinchin formula in probabilityLindblad characterization of one-parameter completely positive semigroups on C*-algebraspositive definite complex-valued functions on groups
Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50) Limit theorems in probability theory (60F99)
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