Operator calculus on vector-valued white noise functionals

DOI10.1006/jfan.1994.1047zbMath0798.60042OpenAlexW2025413538MaRDI QIDQ1328271

Nobuaki Obata

Publication date: 1 November 1994

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

Full work available at URL: https://doi.org/10.1006/jfan.1994.1047

zbMATH Keywords

operator-valued distributionsHida's white noise calculusintegral kernel operatorsoperators on vector-valued white noise functionals

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Transition functions, generators and resolvents (60J35) Stochastic analysis (60H99)

Related Items (11)

Evolution systems and continuity equations for white noise functionals ⋮ Causal perturbative QFT and white noise ⋮ A moment characterization of \(B\)-valued generalized functionals of white noise ⋮ Derivations on white noise functionals ⋮ White noise differential equations for vector-valued white noise functionals ⋮ Bogoliubov's causal perturbative QED and white noise. Interacting fields ⋮ Quantum stochastic differential equations in terms of quantum white noise ⋮ A class of generalized Lévy Laplacians in infinite dimensional calculus ⋮ THE REPRESENTATION OF STRONGLY CONTINUOUS OPERATOR SEMIGROUPS ON VECTOR BUNDLES AS HIDA DISTRIBUTIONS ⋮ Higher Powers of Quantum White Noises in Terms of Integral Kernel Operators ⋮ Wick calculus for vector-valued Gaussian white noise unctionals

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