$\delta $-function of an operator: A white noise approach

DOI10.1090/S0002-9939-04-07769-XzbMath1055.60068OpenAlexW98956587MaRDI QIDQ4829913

Zhi Yuan Huang, Xiang Jun Wang, Cai-shi Wang

Publication date: 1 December 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07769-x

Mathematics Subject Classification ID

White noise theory (60H40)

Related Items (6)

A white noise approach to infinitely divisible distributions on Gel'fand triple ⋮ Spectral integrals of Bernoulli generalized functionals ⋮ QUANTUM TANAKA FORMULA IN TERMS OF QUANTUM BROWNIAN MOTION ⋮ A NEW IDEA TO DEFINE THE δ-FUNCTION OF AN OBSERVABLE IN THE CONTEXT OF WHITE NOISE ANALYSIS ⋮ Properties of delta functions of a class of observables on white noise functionals ⋮ DELTA FUNCTIONS OF OBSERVABLES AND RADON–NIKODYM DERIVATIVES OF SPECTRAL MEASURES

Cites Work

• Quantum Ito's formula and stochastic evolutions
• A characterization of Hida distributions
• White noise calculus and Fock space
• Products and transforms of white-noise functionals (in general setting)
• A \(W\)-transform-based criterion for the existence of bounded extensions of \(E\)-operators.
• Analytic characterization for Hilbert-Schmidt operators on Fock space
• Quantum white noises—White noise approach to quantum stochastic calculus
• Quantum cable equations in terms of generalized operators
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