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Thu, 19 Oct 2017 13:48:02 +0200Thu, 19 Oct 2017 13:48:02 +0200Differentiability of measures and a Malliavin-Stroock Theorem
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/4892
We compare different notions of differentiability of a measure along a vector field on a locally convex space. We consider in the \(L^2\)-space of a differentiable measure the analoga of the classical concepts of gradient, divergence and Laplacian (which coincides with the Ornstein-Uhlenbeck
operator in the Gaussian case). We use these operators for the extension of the basic results of Malliavin and Stroock on the smoothness of finite dimensional image measures under certain nonsmooth mappings to the case of non-Gaussian measures. The proof of this extension is quite direct and does not use any Chaos-decomposition. Finally, the role of this Laplacian in the
procedure of quantization of anharmonic oscillators is discussed.Oleg G. Smolyanov; Heinrich von Weizsäckerreporthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/4892Thu, 19 Oct 2017 13:48:02 +0200Theoretische Alternsmechanismen I
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1395
n.V.J. Türkpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1395Mon, 26 May 2003 10:42:07 +0200Die Riemann-Siegel_Integralformel für die Mellintransformation von Spitzenformen
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/815
Andreas Guthmannpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/815Mon, 03 Apr 2000 00:00:00 +0200The average density of planar Brownian motion
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/822
We show that the occupation measure on the path of a planar Brownian motion run for an arbitrary finite time intervalhas an average density of order three with respect to thegauge function t^2 log(1/t). This is a surprising resultas it seems to be the first instance where gauge functions other than t^s and average densities of order higher than two appear naturally. We also show that the average densityof order two fails to exist and prove that the density distributions, or lacunarity distributions, of order threeof the occupation measure of a planar Brownian motion are gamma distributions with parameter 2.Peter Mörterspreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/822Mon, 03 Apr 2000 00:00:00 +0200Functions of bounded semivariation and countably additive vector measures
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/823
In the Banach space co there exists a continuous function of bounded semivariation which does not correspond to a countably additive vector measure. This result is in contrast to the scalar case, and it has consequences for the characterization of scalar-type operators. Besides this negative result we introduce the notion of functions of unconditionally bounded variation which are exactly the generators of countably additive vector measures.Peter Vietenpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/823Mon, 03 Apr 2000 00:00:00 +0200A family of Cohen-Macaulay Modules over Singularities of Type Xt+Y^3
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/824
Gerhard Pfister; Dorin Popescupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/824Mon, 03 Apr 2000 00:00:00 +0200