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ON MAUTNER'S EIGENFUNCTION EXPANSION. [PDF]
Proc Natl Acad Sci U S A, 1956 Bade WG, Schwartz JT.
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Note on a Metrically Transitive System. [PDF]
Proc Natl Acad Sci U S A, 1933 Seidel W.
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Testing the Correlated Random Coefficient Model. [PDF]
J Econom, 2010 Heckman JJ, Schmierer D, Urzua S.
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The Group Ring of a Locally Compact Group: I. [PDF]
Proc Natl Acad Sci U S A, 1941 Segal IE.
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Fubini Theorems for Capacities
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2016Capacity plays an important role in many areas. A capacity is usually studied under the assumption that it is concave (or convex). In this paper, we perform a further investigation on the Fubini Theorems for concave (or convex) capacities given by Ghirardato (1997) and Chateauneuf and Lefort (2008). We extend Fubini Theorems for capacities to a larger
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The fubini theorems of stochastic measures
Acta Mathematicae Applicatae Sinica, 1988Suppose that (S,\(\Sigma)\) is a measurable space, E a Banach space, and Z a vector measure on \(\Sigma\) with values in the dual E' of E. If \(f: S\to E\) is a simple function of the form \(f=\sum^{n}_{i=1}x_ i 1_{A_ i}\) \((x_ i\in E\), \(A_ i\in \Sigma\) disjoint), it is natural to define the integral of f relative to Z by \[ \int f dZ:=\sum^{n}_{i ...
Jiang, Tao, Xiong, Zhengxin, Chen, Peide
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Cartan-Fubini Type Extension Theorems
Acta Mathematica Vietnamica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On The Stochastic Fubini Theorem
Stochastics and Stochastic Reports, 1995The stochastic Fubini theorem, which concerns the interchangeability of the stochastic and ordinary integrals of an integrand depending on a parameter, holds under a condition more general and natural that the one provided by Protter [2].
K. Bichteler, S.J. Lin
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1971
Linear Lebesgue measure is defined by covering sequences of intervals, and plane measure by covering sequences of rectangles. We shall now consider how these measures are related to each other. It is clear what kind of answer we should expect. In elementary calculus we learn to compute the area between the graphs of two functions f ≦ g by the formula
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Linear Lebesgue measure is defined by covering sequences of intervals, and plane measure by covering sequences of rectangles. We shall now consider how these measures are related to each other. It is clear what kind of answer we should expect. In elementary calculus we learn to compute the area between the graphs of two functions f ≦ g by the formula
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1978
The Fubini theorem belongs to the most powerful tools in Analysis. It is very useful in practical calculations and, besides, plays a striking role in proving several important theorems on integration. The Fubini theorem establishes a connection between the so called double integrals and repeated integrals.
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The Fubini theorem belongs to the most powerful tools in Analysis. It is very useful in practical calculations and, besides, plays a striking role in proving several important theorems on integration. The Fubini theorem establishes a connection between the so called double integrals and repeated integrals.
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