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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 6, Pages 1300–1312 (Mi smj2275)  
This article is cited in 12 scientific papers (total in 12 papers)

On some properties of the multidimensional Bochner–Phillips functional calculus

A. R. Mirotin

Francisk Skorina Gomel State University, Gomel, Belarus
Full-text PDF (339 kB) Citations (12)
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Abstract: We develop the multidimensional functional calculus of semigroup generators which is based on the class of Bernstein functions in several variables. We establish spectral mapping theorems, give a holomorphy condition for the semigroups generated by the operators arising in this calculus, as well as prove the moment inequality for these operators.
Keywords: multiparameter semigroup of operators, holomorphic semigroup, semigroup generator, functional calculus, Bernstein function, spectral mapping theorem.
Received: 03.08.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 6, Pages 1032–1041
DOI: https://doi.org/10.1134/S0037446611060085
Bibliographic databases:
Document Type: Article
UDC: 517.986.7+517.984.3
Language: Russian
Citation: A. R. Mirotin, “On some properties of the multidimensional Bochner–Phillips functional calculus”, Sibirsk. Mat. Zh., 52:6 (2011), 1300–1312; Siberian Math. J., 52:6 (2011), 1032–1041
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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