Asymptotic behavior of the two-point Wightman function
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 28-37
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It is shown that there is a one-to-one correspondence between the quasiasymptotic
behavior of the two-point Wightman function in the $p$ representation and the asymptotic
behavior of the Fourier transform in the neighborhood of the light cone. As a consequence,
the modified Tauber theorem of Vladimirov is used to obtain an assertion about the connection between the asymptotic behavior of the antiderivative of the two-point function at infinity and the behavior of the Laplace transform in the neighborhood of the origin.
@article{TMF_1979_40_1_a2,
author = {K. A. Bukin},
title = {Asymptotic behavior of the two-point {Wightman} function},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {28--37},
publisher = {mathdoc},
volume = {40},
number = {1},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a2/}
}
K. A. Bukin. Asymptotic behavior of the two-point Wightman function. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 28-37. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a2/