Differentiable families of measures

DOI10.1006/jfan.1993.1151zbMath0795.46015OpenAlexW1977162510MaRDI QIDQ1316399

Heinrich von Weizsäcker, O. G. Smolyanov

Publication date: 15 September 1994

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

Full work available at URL: https://doi.org/10.1006/jfan.1993.1151

zbMATH Keywords

logarithmic derivativesstatistical experimentsCameron-Martin-Maruyama-Girsanov formuladifferent definitions of differentiabilitydifferent topologies on the measuresdifferentiable measures on finite-dimensional spacesfunctions of a real variable with values in the space of signed measures

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Spaces of measures (46E27) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (16)

Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures ⋮ SMOOTH PROBABILITY MEASURES AND ASSOCIATED DIFFERENTIAL OPERATORS ⋮ Admissible vector fields and related diffusions on infinite-dimensional manifolds ⋮ Differential forms on locally convex spaces and the Stokes formula ⋮ Change of variable formulas for infinite-dimensional distributions ⋮ Quasi-invariance under flows generated by non-linear PDEs ⋮ Quantum anomalies via differential properties of Lebesgue-Feynman generalized measures ⋮ Differentiability of Borel measures along vector fields on Banach manifolds with uniform structure ⋮ Analytic continuation of the change of variable formula for smooth measures ⋮ On Skorokhod differentiable measures ⋮ Change of variable formulas for Feynman pseudomeasures ⋮ Differentiable measures and the Malliavin calculus ⋮ Kato's inequality and essential self-adjointness of dirichlet operators on certain banach spaces ⋮ Dynamical systems generated by Sobolev class vector fields in finite and infinite dimensions ⋮ Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions ⋮ Transformations of measures via their generalized densities

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