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Integral symmetry conditions

Journal de Mathématiques Pures et Appliquées, 2022
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GIUSEPPE DEVILLANOVA, SERGIO SOLIMINI
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ON EXISTENCE CONDITIONS FOR THE STIELTJES INTEGRAL

Mathematics of the USSR-Sbornik, 1972
A modification of the definition of the Stieltjes integral is proposed, and it is shown that this integral exists if , , and ( is the Sobolev-Slobodeckiĭ class. It is shown that this integral defines a general form of a linear functional on and on the class of functions for which .
Matsaev, V. I., Solomyak, M. Z.
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Approximation of a conditional wiener integral

Journal of Computational Physics, 1968
Abstract An approximation for conditional Wiener integrals, similar to Cameron's “Simpson's Rule” for unconditional Wiener integrals, is developed. An alternate derivation of Konheim and Miranker's prescription for the development of higher-order formulas is presented.
Fosdick, L. D., Jordan, H. F.
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On Chain Conditions in Integral Domains

Canadian Mathematical Bulletin, 1984
AbstractThe following two theorems are proved. If R is an Archimedean conducive integral domain, then R is quasilocal and dim(R) ≤1. If each overring of an integral domain R has ascending chain condition on divisorial ideals, then the integral closure of R is a Dedekind domain. Both theorems sharpen results already known in the Noetherian case.
BARUCCI, Valentina, D. Dobbs
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Conditional Moment Generating Functions for Integrals and Stochastic Integrals

SIAM Journal on Control and Optimization, 2002
This paper presents two methods for computing filtered estimates for moments of integrals and stochastic integrals of continuous-time nonlinear systems. The first method utilizes recursive stochastic partial differential equations. The second method utilizes conditional moment generating functions. An application of these methods leads to the discovery
Charalambous, Charalambos D.   +5 more
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Integrability Conditions and Carathéodory's Theorem

American Journal of Physics, 1954
The theorem of Carathéodory is proved by showing that the necessary and sufficient condition for the existence of points neighboring to an arbitrary point which are inaccessible from the latter along solution curves of a linear total differential equation is that the conditions of integrability of the equation be satisfied.
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INTEGRATED CONDITIONAL MOMENT TESTS FOR PARAMETRIC CONDITIONAL DISTRIBUTIONS

Econometric Theory, 2011
In this paper we propose consistent integrated conditional moment tests for the validity of parametric conditional distribution models, based on the integrated squared difference between the empirical characteristic function of the actual data and the characteristic function implied by the model.
Bierens, Herman J., Wang, Li
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