Integral representation of second quantization and its application to white noise analysis

DOI10.1006/jfan.1995.1125zbMath0870.46027OpenAlexW2063733542MaRDI QIDQ1908102

Yuh-Jia Lee

Publication date: 18 September 1997

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

Full work available at URL: https://doi.org/10.1006/jfan.1995.1125

zbMATH Keywords

white noise analysisintegral representationsecond quantizationlocalityOrnstein-Uhlenbeck semigroupMehler's formuladensely defined positive selfadjoint operatorHida's test functionstandard operator

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Measures and integration on abstract linear spaces (46G12) Stochastic analysis (60H99) Distributions on infinite-dimensional spaces (46F25)

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