Geodesic
Inversion of Chernoff's Theorem
Matematičeskie zametki, Tome 83 (2008) no. 4, pp. 581-589

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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, Banach space, Feynman integral, contraction semigroup, precompact set.
Mots-clés : Trotter product formula 
@article{MZM_2008_83_4_a9,
     author = {A. Yu. Neklyudov},
     title = {Inversion of {Chernoff's} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {581--589},
     publisher = {mathdoc},
     volume = {83},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a9/}
}
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A. Yu. Neklyudov. Inversion of Chernoff's Theorem. Matematičeskie zametki, Tome 83 (2008) no. 4, pp. 581-589. http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a9/