Analytic continuation of functions defined on subgroups of the complex Lorentz group
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 321-326 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $SL(2C)$.
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     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},
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     number = {3},
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     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/

[1] G. Cosenza, A. Sciarrino, M. Toller, Nuovo Cim., 57A (1968), 253 | DOI | MR | Zbl

[2] B. L. Beers, A. J. Dragt, J. Math. Phys., 11 (1970), 2313 | DOI | MR | Zbl

[3] A. Erdelyi, Higher Trancendental Functions, v. 2, N. Y., 1953

[4] M. Andrews, J. Gunson, J. Math. Phys., 5 (1964), 1391 | DOI | MR