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Matematicheskie Zametki, 2007, Volume 82, Issue 3, Pages 401–410
DOI: https://doi.org/10.4213/mzm3849
(Mi mzm3849)
 

This article is cited in 3 scientific papers (total in 3 papers)

On Multiple Integrals of Special Form

R. N. Miroshin

Saint-Petersburg State University
Full-text PDF (397 kB) Citations (3)
References:
Abstract: Multiple integrals generalizing the iterated kernels of integral operators are expressed as single integrals in the case of a special representation of the kernel (this is our theorem). Besides integral equations, Markov processes involve these integrals as well. As a consequence of the theorem, we obtain transition probability densities of certain Markov processes. As an illustration, we consider nine examples.
Keywords: multiple integral, integral operator, iterated kernel, Markov process, Fourier integral transform, Hankel integral transform, Bessel function.
Received: 17.05.2006
Revised: 13.02.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 3, Pages 357–365
DOI: https://doi.org/10.1134/S000143460709009X
Bibliographic databases:
UDC: 518.2
Language: Russian
Citation: R. N. Miroshin, “On Multiple Integrals of Special Form”, Mat. Zametki, 82:3 (2007), 401–410; Math. Notes, 82:3 (2007), 357–365
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v82/i3/p401
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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