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Teoriya Veroyatnostei i ee Primeneniya, 2016, Volume 61, Issue 4, Pages 830–837
DOI: https://doi.org/10.4213/tvp5089 (Mi tvp5089) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On a characterization of Gaussian transition operators

A. S. Holevo

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (185 kB) Citations (2)
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DOI: https://doi.org/10.4213/tvp5089
Abstract: In this paper we give a detailed proof of the characterization of the Gaussian Markov operators mapping a set of Gaussian probability measures into itself. We also characterize the integral operators with Gaussian kernels that map the set of unnormalized Gaussian measures into itself.
Keywords: Markov operator (transition operator), Gaussian kernel, Gaussian measure.
Funding agency Grant number
Russian Science Foundation 14-21-00162
Received: 28.10.2015
English version:
Theory of Probability and its Applications, 2017, Volume 61, Issue 4, Pages 715–718
DOI: https://doi.org/10.1137/S0040585X97T988435
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Holevo, “On a characterization of Gaussian transition operators”, Teor. Veroyatnost. i Primenen., 61:4 (2016), 830–837; Theory Probab. Appl., 61:4 (2017), 715–718
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp5089
  • https://www.mathnet.ru/eng/tvp/v61/i4/p830
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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