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Matematicheskie Zametki, 2013, Volume 93, Issue 2, Pages 216–226
DOI: https://doi.org/10.4213/mzm8610 (Mi mzm8610) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Properties of Bernstein Functions of Several Complex Variables

A. R. Mirotin

Francisk Skorina Gomel State University
Full-text PDF (509 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8610
Abstract: A multidimensional generalization of the class of Bernstein functions is introduced and the properties of functions belonging to this class are studied. In particular, a new proof of the integral representation of Bernstein functions of several variables is given. Examples are considered.
Keywords: Bernstein function of several variables, absolutely monotone function, integral representation, Markov process.
Received: 20.08.2009
Revised: 25.05.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 2, Pages 257–265
DOI: https://doi.org/10.1134/S0001434613010288
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. R. Mirotin, “Properties of Bernstein Functions of Several Complex Variables”, Mat. Zametki, 93:2 (2013), 216–226; Math. Notes, 93:2 (2013), 257–265
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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