共查询到20条相似文献,搜索用时 15 毫秒
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The problem of common extension ofcharges (finitely additive measures) is generalised to include group-valued functions defined on a system of sets (u-systems). To eachu-systemU an Abelian groupH(U) is attached. Every Abelian group is isomorphic to one of the formH(U). The groupH(U) is an indicator for extendability of charges fromU to the Boolean algebra generated byU. AllG-valued measures extend if and only if Ext(H(U),G)=0, for instance.
Supported as van Vleck visiting professor at Wesleyan University, Connecticut in 1993.
Partially supported by the Graduierten KollogTheoretische und experimentelle Methoden der reinen Mathematik of Essen University, a project No. G-0294-081.06/93 of the German-Israeli Foundation for Scientific Research & Development
and by the German Academic Exchange, DAAD 1994. 相似文献
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W. Hazod 《Journal of Mathematical Sciences》1999,93(4):531-542
It is shown that weakly convergent sums (products) of normalized i.i.d. random variables with values in a finite-dimensional
vector space or in a group are mixing in the sense of A. Rényi, and limit theorems for random sums with nonindependent indices
are obtained. A new version of H. Robbins' limit theorem for random sums is presented.
Proceedings of the Seminar on Stability Problems for Stochastic Models, Hajdúszoboszló Hungary, 1997, Part III. 相似文献
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W. K. Hayman 《Acta Mathematica》1970,125(1):269-298
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Myrto Manolaki 《Journal of Mathematical Analysis and Applications》2012,391(2):480-488
Ostrowski showed that there are intimate connections between the gap structure of a Taylor series and the behaviour of its partial sums outside the disk of convergence. This paper investigates the corresponding problem for the homogeneous polynomial expansion of a harmonic function. The results for harmonic functions display new features in the case of higher dimensions. 相似文献
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Mathematische Zeitschrift - 相似文献
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Biagio Ricceri 《Mathematische Zeitschrift》1984,186(3):299-307
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Unicity theorems for entire functions 总被引:8,自引:0,他引:8
Mitsuru Ozawa 《Journal d'Analyse Mathématique》1976,30(1):411-420
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Xiangrong Zhu 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2890-2896
Let N be a compact Riemannian manifold. A self-similar solution for the heat flow is a harmonic map from to N (n≥3), which was also called a quasi-harmonic sphere (cf. Lin and Wang (1999) [1]). (Here is the Euclidean metric in .) It arises from the blow-up analysis of the heat flow at a singular point. When and without the energy constraint, we call this a quasi-harmonic function. In this paper, we prove that there is neither a nonconstant positive quasi-harmonic function nor a nonconstant quasi-harmonic function. However, for all 1≤p≤n/(n−2), there exists a nonconstant quasi-harmonic function in . 相似文献
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Stephen J. Gardiner 《Arkiv f?r Matematik》1999,37(2):255-273
This paper examines the boundary behaviour of superharmonic functions on a half-space in terms of their behaviour along lines normal to the boundary. It is shown that, if the set of lines along which such functions grow quickly is (in a certain sense) metrically dense, then the set of lines along which they are bounded below is topologically small. 相似文献
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We establish Blackwell-type theorems for weighted renewal functions under much weaker conditions, as compared to the available, on the weight sequence and the distributions of the jumps in the renewal process. The proofs are based on using integro-local limit theorems and large deviation bounds. For the jump distribution, we consider conditions of the four types: (a) it has finite second moment, (b) it belongs to the domain of attraction of a stable law, (c) its tails are locally regularly varying, and (d) it satisfies the moment Cramér condition. In cases (a)–(c), the weights are assumed to satisfy a broad regularity condition on their moving averages, whereas in case (d) the weights can change exponentially fast. 相似文献
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Guoyi Xu 《Mathematische Annalen》2016,366(3-4):1281-1317