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On the distributions of smooth functions on infinite-dimensional spaces with measures

Doklady Mathematics, 2014
This paper concerns the absolute continuity of an image measure by a map \(f\). Let \(X\) be a locally convex space and \(\mu\) be a Radon probability measure on \(X\). The main result of the paper is as follows. Theorem 1. Let \(X\), \(\mu\) be as above, \(\mu\) be continuous along vectors for a countable set \(S\), and let \(f\) be a \(\mu ...
V I Bogachev, Bogachev V I
exaly   +3 more sources

Properties of operator stable distributions in infinite-dimensional Banach spaces

Journal of Theoretical Probability, 1990
The results of the paper concern the connections between different characterizations of operator stable measures in infinite-dimensional separable Banach spaces. The author makes use of the important tool for treating limits of operator normed measures: the convergence of operator types, which is closely related with the strong and uniform operator ...
G Siegel
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Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics

2006
We study distributions and pseudo-differential operators on infinite-dimensional spaces and applications in quantum ...
Andrei Khrennikov
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The Gauss and Feynman Distributions on Infinite-Dimensional Spaces over Non-Archimedean Fields

1994
By analogy with a finite-dimensional case (Ch. 2) the Gauss and Feynman integrals are defined on the basis of the distribution theory. A variant of the distribution theory is suggested in [69] where the spaces of analytic functions on infinite-dimensional non-Archimedean spaces are used as the spaces of test functions (the functions of an infinite ...
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Distribution and Analytical Measure on Infinite Dimensional Spaces

Доклады академии наук, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belyaev, A. A., Smolyanov, O. G.
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A. V. Skorokhod's works related to investigations of probability distributions in infinitely dimensional spaces

Ukrainian Mathematical Journal, 1990
The survey of Skorokhod's works, which are connected with probabilistic distributions and random elements in infinite-dimensional spaces is reviewed. The following topics are described: generalization of stochastic integrals; exponential integrability of the norm of a Gaussian random element in a Banach space, conditions for the continuity of random ...
Buldygin, V. V., Yadrenko, M. I.
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On the continuity of the Walras correspondence in distributional economies with an infinite-dimensional commodity space

Mathematical Social Sciences
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Sebastián Cea-Echenique   +1 more
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