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Abstract: Let $G=\mathop{A\ast B}\limits_C$ be an amalgamated product of finite rank free groups $A$, $B$ and $C$. We introduce atomic measures and corresponding asymptotic densities on a set of norma...
Equipartition of several measures     several measures  math       2010/11/24
We prove a general theorem on partitioning several measures into equal parts, and several theorems on partitioning measures in the Euclidean space into equal parts by convex partitions. We use the id...
The problem of the description of finite factor representations of the infinite-dimensional unitary group, investigated by Voiculescu in 1976, is equivalent to the description of all totally positive...
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
Recently in [Dvu3] it was shown that if a pseudo effect algebra satisfies a kind of the Riesz Decomposition Property ((RDP) for short), then its state space is either empty or a nonempty simplex. This...
We establish estimates for restrictions to certain curves in R2 of the Fourier transforms of some fractal measures.
A theorem of Siebert asserts that if μn(t) are semigroups of probability measures on a Lie group G, and Pn are the corresponding generating functionals,then μn(t).
We consider analytic continuations of Fourier transforms and Stieltjes transforms. This nables us to gen-eralize moments for some class of probability measures which do not have moments in the usual ...
We investigate optimal consumption problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall for logarithmic utility functions. We find the solutions in te...

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