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  • Author or Editor: Wolfgang Müller x
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Abstract  

Let GC be a domain which is bounded by a finite number of pairwise disjoint Jordan curves. We prove the existence of a function which is holomorphic exactly on G and has universal translates with respect to a prescribed set E ⊂∂G and which in addition is continuous on G -\E.

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Periodica Mathematica Hungarica
Authors: Wolfgang Müller, Jörg Thuswaldner, and Robert Tichy
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Abstract  

Let f(n) be a strongly additive complex-valued arithmetic function. Under mild conditions on f, we prove the following weighted strong law of large numbers: if X,X 1,X 2, … is any sequence of integrable i.i.d. random variables, then

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathop {\lim }\limits_{N \to \infty } \frac{{\sum\nolimits_{n = 1}^N {f(n)X_n } }} {{\sum\nolimits_{n = 1}^N {f(n)} }} = \mathbb{E}Xa.s.$$ \end{document}

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European Journal of Microbiology and Immunology
Authors: Hagen Frickmann, Norbert G. Schwarz, Dorothea F. Wiemer, Marcellus Fischer, Egbert Tannich, Patrick L. Scheid, Martin Müller, Ulrich Schotte, Wolfgang Bock, and Ralf M. Hagen

Abstract

This report analyzes the occurrence of Cryptosporidium spp., E. histolytica, and G. intestinalis in stool of returnees from military deployments and the impact of hygiene precautions. Between 2007 and 2010, stool samples of 830 returnees that were obtained 8–12 weeks after military deployments in Afghanistan, Uzbekistan, the Balkans, Democratic Republic of the Congo/Gabonese Republic, and Sudan and 292 control samples from non-deployed soldiers were analyzed by PCR for Cryptosporidium spp., E. histolytica, G. intestinalis, and the commensal indicator of fecal contamination E. dispar. Data on hygiene precautions were available. The soldiers were questioned regarding gastrointestinal and general symptoms. Among 1122 stool samples, 18 were positive for G. intestinalis, 10 for E. dispar, and no-one for Cryptosporidium spp. and E. histolytica. An increased risk of acquiring chronic parasitic infections in comparison with non-deployed controls was demonstrated only for G. intestinalis in Sudan, where standardized food and drinking water hygiene precautions could not be implemented. Standard food and drinking water hygiene precautions in the context of screened military field camps proved to be highly reliable in preventing food-borne and water-borne chronic infections and colonization by intestinal protozoa, leading to detection proportions similar to those in non-deployed controls.

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