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Properties of operator stable distributions in infinite-dimensional Banach spaces
Journal of Theoretical Probability, 1990The 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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On the distributions of smooth functions on infinite-dimensional spaces with measures
Doklady Mathematics, 2014This 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 ...
Vladimir Bogachev, Bogachev V I
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2006
We study distributions and pseudo-differential operators on infinite-dimensional spaces and applications in quantum ...
Andrei Khrennikov
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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
1994By 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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Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures
Russian Mathematical Surveys, 2016Vladimir Bogachev
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Distribution and Analytical Measure on Infinite Dimensional Spaces
Доклады академии наук, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belyaev, A. A., Smolyanov, O. G.
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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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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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