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Matematicheskie Zametki, 2008, Volume 83, Issue 4, Pages 581–589
DOI: https://doi.org/10.4213/mzm4577 (Mi mzm4577) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Inversion of Chernoff's Theorem

A. Yu. Neklyudov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (437 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm4577
Abstract: In this paper, we prove a theorem which is the inversion of Chernoff's theorem. As a consequence of this result, we obtain conditions for the validity of the Chernoff and Trotter product formulas.
Keywords: Chernoff's theorem, Chernoff product formula, Trotter product formula, Banach space, Feynman integral, contraction semigroup, precompact set.
Received: 15.05.2007
Revised: 12.10.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 4, Pages 530–538
DOI: https://doi.org/10.1134/S0001434608030267
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: A. Yu. Neklyudov, “Inversion of Chernoff's Theorem”, Mat. Zametki, 83:4 (2008), 581–589; Math. Notes, 83:4 (2008), 530–538
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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