## Differentiable families of measures O.G. Smolyanov Faculty of Mechanics and Mathematics

• The paper studies differential and related properties of functions of a real variable with values in the space of signed measures. In particular the connections between different definitions of differentiability are described corresponding to different topologies on the measures. Some conditions are given for the equivalence of the measures in the range of such a function. These conditions are in terms of socalled logarithmic derivatives and yield a generalization of the Cameron-Martin-Maruyama-Girsanov formula. Questions of this kind appear both in the theory of differentiable measures on infinite-dimensional spaces and in the theory of statistical experiments.

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Verfasserangaben: O.G. Smolyanov, Heinrich von Weizsäcker urn:nbn:de:hbz:386-kluedo-7365 Preprint Englisch 1998 1998 Technische Universität Kaiserslautern 03.04.2000 Journal of Functional Analysis 118, 1993, Seiten 454-476 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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