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On Focal Borel Probability Measures
The novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open ...
FRANCISCO Javier Garcia-Pacheco +2 more
exaly +3 more sources
We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of ...
Arulmani İndumathi +2 more
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Structure of the set of Borel exceptional vectors for entire curves. II
We have obtained a description of structure of the sets of Picard and Borel exceptional vectors for transcendental entire curve in some sense. We consider only $p$-dimensional entire curves with linearly independent components without common zeros.
A.I. Bandura, Ya.I. Savchuk
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On the Borel Classes of Set-Valued Maps of Two Variables
Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
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A NOTE ON ALMOST UNIFORM CONTINUITY OF BOREL FUNCTIONS ON POLISH METRIC SPACES
With a simple short proof, this article improves a classical approximation result of Lusin’s type; specifically, it is shown that, on any given finite Borel measure space with the ambient space being a Polish metric space, every Borel real-valued ...
Y.-L. Chou
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function (Extended Abstract) [PDF]
In this article we treat a notion of continuity for a multi-valued function F and we compute the descriptive set-theoretic complexity of the set of all x for which F is continuous at x.
Vassilios Gregoriades
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Boolean Valued Representation of Random Sets and Markov Kernels with Application to Large Deviations
We establish a connection between random set theory and Boolean valued analysis by showing that random Borel sets, random Borel functions, and Markov kernels are respectively represented by Borel sets, Borel functions, and Borel probability measures in a
Antonio Avilés López +1 more
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function [PDF]
In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$.
Vassilios Gregoriades
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Full Information H2 Control of Borel-Measurable Markov Jump Systems with Multiplicative Noises
This paper addresses an H2 optimal control problem for a class of discrete-time stochastic systems with Markov jump parameter and multiplicative noises.
Hongji Ma, Yang Wang
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Optimized Self-Similar Borel Summation
The method of Fractional Borel Summation is suggested in conjunction with self-similar factor approximants. The method used for extrapolating asymptotic expansions at small variables to large variables, including the variables tending to infinity, is ...
Simon Gluzman, Vyacheslav I. Yukalov
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