Representation of a multiple integral of special form by a series (Q1947774)
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scientific article; zbMATH DE number 6158167
| Language | Label | Description | Also known as |
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| English | Representation of a multiple integral of special form by a series |
scientific article; zbMATH DE number 6158167 |
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Representation of a multiple integral of special form by a series (English)
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26 April 2013
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From the author's abstract: Multiple integrals generalizing the iterated kernels of linear integral equations are expressed by a series each of whose terms is proportional to the product of two orthogonal functions in the case of a similar representation of the kernel. Besides integral equations, these integrals have applications in the theory of Markov processes. The results obtained are illustrated by several examples.
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multiple integral
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linear integral equation
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iterated kernel
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Markov process
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Kolmogorov-Chapman equation
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orthogonal function
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