Weak Compactness and Vector Measures
Canadian Journal of Mathematics, 1955 Robert Gardner Bartle +2 more
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Sample path properties of stochastic processes represented as multiple stable integrals [PDF]
, 1991 Originally published as a technical report no. 871, October 1989 for Cornell University Operations Research and Industrial Engineering. Available online: http://hdl.handle.net/1813/8754This paper studies the sample path properties of stochastic processes
Rosinski, Jan +2 more
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Integration with filters [PDF]
Journal of Logic and Analysis, 2020 We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in any algebraic structure in which finite averages make sense.
E. Bottazzi, Monroe Eskew
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Betweenness and Diversity in Journal Citation Networks as Measures of Interdisciplinarity -- A Tribute to Eugene Garfield -- [PDF]
, 2017 Journals were central to Eugene Garfield's research interests. Among other things, journals are considered as units of analysis for bibliographic databases such as the Web of Science (WoS) and Scopus.
Bornmann, Lutz +2 more
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Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy [PDF]
, 2017 In this article, we prove the existence of measure-valued solutions to the Ericksen-Leslie system equipped with the Oseen-Frank energy. We introduce the concept of generalized gradient Young measures.
Lasarzik, Robert
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Vector valued Loeb measures and the Lewis integral.
MATHEMATICA SCANDINAVICA, 1991 The author presents a very comprehensive account of the theory of internal vector-valued set functions and the vector-valued Loeb measures they generate. As examples, the author discusses the scalar-valued Loeb measures, measures valued in internal Banach spaces and measures with values in non-standard hulls.
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Neumark Operators and Sharp Reconstructions, the finite dimensional case [PDF]
, 2010 A commutative POV measure $F$ with real spectrum is characterized by the existence of a PV measure $E$ (the sharp reconstruction of $F$) with real spectrum such that $F$ can be interpreted as a randomization of $E$.
Akhiezer N. I. +13 more
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The Riesz Representation Theorem and Extension of Vector Valued Additive Measures
, 2001 Let E F G be tree Banach spaces with E ⊂ L F G continuously, and let m → E be a finitely additive measure with finite semivariation, defined on a δ-ring of subsets of a given set S.
B. Bongiorno, N. Dinculeanu
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Compactness properties of vector-valued integration maps in locally convex spaces
, 1994 Introduction. The importance of vector measures in modern analysis is well established. The theory is particularly well developed in the Banach space setting; see, for example, [3, 4] and the references therein.
Colloqu Ium, Mathemat Icum, W. Ricker
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Characterization of Poisson Integrals of Vector-Valued Functions and Measures on the Unit Circle
Hokkaido Mathematical Journal, 1987 An answer to the question whether, for a given complex-valued harmonic function f in the open unit disk D, there exists a finite measure on \([- \pi,\pi]\) (i.e. on the unit circle \(\Pi)\) such that f is the Poisson integral of this measure can be given in terms of the family of functions \(\{f_ r\); \(0\leq ...
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