Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 321-326
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V. I. Kolomytsev. Analytic continuation of functions defined on subgroups of the complex Lorentz group. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 321-326. http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a2/
@article{TMF_1972_13_3_a2,
author = {V. I. Kolomytsev},
title = {Analytic continuation of functions defined on subgroups of the complex {Lorentz} group},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {321--326},
year = {1972},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a2/}
}
TY - JOUR
AU - V. I. Kolomytsev
TI - Analytic continuation of functions defined on subgroups of the complex Lorentz group
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1972
SP - 321
EP - 326
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a2/
LA - ru
ID - TMF_1972_13_3_a2
ER -
%0 Journal Article
%A V. I. Kolomytsev
%T Analytic continuation of functions defined on subgroups of the complex Lorentz group
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 321-326
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a2/
%G ru
%F TMF_1972_13_3_a2
A question that arises in the group-theoretical approach to the problem of conspiring Regge trajectories is discussed - the analytic continuation of functions defined on subgroups of the complex Lorentz group. It is shown that a real-analytic function $f(\varphi,\cos\theta,\psi)$ on $SU(2)$ that is analytic in $\omega=\cos\theta$ in the whole plane can be continued to a complex-analytic function on $SL(2C)$.
