Search results for "Wick product"

showing 3 items of 3 documents

Hochschild Cohomology Theories in White Noise Analysis

2008

We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.

Sheaf cohomologyPure mathematicswhite noise analysisGroup cohomologyMathematics::Number TheoryFOS: Physical sciencesMathematics::Algebraic TopologyHochschild cohomologyGeneral Relativity and Quantum CosmologyCup productMathematics::K-Theory and HomologyMathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: MathematicsDe Rham cohomologyQuantum Algebra (math.QA)Equivariant cohomologyWick productČech cohomologyMathematical PhysicsMathematicslcsh:MathematicsMathematical Physics (math-ph)lcsh:QA1-939CohomologyGeometry and TopologyAnalysis
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Deformation Quantization by Moyal Star-Product and Stratonovich Chaos

2012

We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.

Stratonovich chaoswhite noise analysisMoyal productQuantization (signal processing)lcsh:MathematicsDeformation (meteorology)Space (mathematics)Connes algebralcsh:QA1-939CHAOS (operating system)Mathematics::ProbabilityStar productMathematics - Quantum AlgebraMoyal productMathematics::Mathematical PhysicsGeometry and TopologyWick productMathematical PhysicsAnalysisMoyal bracketMathematics - ProbabilityMathematical physicsMathematics
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Deformation Quantization in White Noise Analysis

2007

We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product.

white noise analysisMoyal productQuantization (signal processing)lcsh:MathematicsMathematics::Number TheoryMathematical analysisFOS: Physical sciencesWhite noiseMathematical Physics (math-ph)lcsh:QA1-939Mathematics - Quantum AlgebraFOS: MathematicsMoyal productQuantum Algebra (math.QA)Geometry and TopologyWick productAnalysisMathematical PhysicsMathematicsMathematical physics
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