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White-noise approach to Malliavin's calculus

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Publication:579746
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DOI10.1016/0022-1236(87)90001-2zbMath0625.60049OpenAlexW2030864940MaRDI QIDQ579746

Juergen Potthoff

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90001-2


zbMATH Keywords

Malliavin calculuswhite noisechain ruleFréchet derivatives


Mathematics Subject Classification ID

Brownian motion (60J65) Generalized stochastic processes (60G20) Stochastic integrals (60H05)


Related Items (5)

On positive generalized functionals ⋮ Dirichlet forms and white noise analysis ⋮ Wiener distributions and white noise analysis ⋮ Differentiable measures and the Malliavin calculus ⋮ Lipschitzian complete error calculus and Dirichlet forms



Cites Work

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  • Brownian functionals and applications
  • On the connection of the white-noise and Malliavin calculi
  • Calculus on Gaussian white noise. IV
  • The partial malliavin calculus and its application to non-linear filtering


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