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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 52, Number 2, Pages 213–224
(Mi tmf2515)
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This article is cited in 2 scientific papers (total in 2 papers)
A generalization of Ruelle's theorem
M. A. Soloviev
Abstract:
It is shown that if two generalized functions are equal in a cone and the supports of their Fourier transforms do not intersect, then each of them decreases exponentially within the cone. The argument of the exponential is calculated by means of an auxiliary extremal problem. As a direct consequence, this yields a stronger form of Ruelle's theorem on the spacelike asymptotic behavior of vacuum expectation values.
Received: 26.06.1981
Citation:
M. A. Soloviev, “A generalization of Ruelle's theorem”, TMF, 52:2 (1982), 213–224; Theoret. and Math. Phys., 52:2 (1982), 756–766
Linking options:
https://www.mathnet.ru/eng/tmf2515 https://www.mathnet.ru/eng/tmf/v52/i2/p213
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