Geodesic
Analytic continuation of functions defined on subgroups of the complex Lorentz group
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 321-326

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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 $SL(2C)$. 
@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},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a2/}
}
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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/