On the decomposition of the tensorial product of two representations of the Poincaré group - Case with at least one imaginary mass
Annales de l'I.H.P. Physique théorique, Volume 13 (1970) no. 2, p. 163-194
@article{AIHPA_1970__13_2_163_0,
     author = {Bertrand, Jacqueline},
     title = {On the decomposition of the tensorial product of two representations of the Poincar\'e group - Case with at least one imaginary mass},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {13},
     number = {2},
     year = {1970},
     pages = {163-194},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1970__13_2_163_0}
}
Bertrand, J. On the decomposition of the tensorial product of two representations of the Poincaré group - Case with at least one imaginary mass. Annales de l'I.H.P. Physique théorique, Volume 13 (1970) no. 2, pp. 163-194. http://www.numdam.org/item/AIHPA_1970__13_2_163_0/

[1] H. Joos, Fortschritte der Physik, t. 10, 1962, p. 65. | Zbl 0131.44002

[2] L. Pukanszky, Journal of Math. and Mec., t. 10, 1961, p. 475. | MR 140617 | Zbl 0099.25502

[3] A.J. Macfarlane, Reviews of Modern Physics, t. 34, 1962, p. 41. | MR 152288 | Zbl 0109.21401

[4] P. Moussa and R. Stora, Some Remarks on the product of irreducible representations of the inhomogeneous Lorentz group. Lectures in Theoretical physics VII-A, University of Colorado Press, Boulder, 1964. | MR 189470

[5] G. Rideau. Ann. Inst. Henri Poincaré, t. III A, 1965, p. 339. | Numdam | MR 194067 | Zbl 0161.23704

[6] H. Goldberg, J. Math. Phys., t. 7, 1965, p. 434.

[7] M. Kummer, J. Math. Phys., t. 7, 1966, p. 997. | MR 210394 | Zbl 0142.22901

[8] W.H. Klink, Clebsch-Gordan coefficients and functions over cosets. University of Iowa preprint, October 1967. | MR 250579

[9] G. Mackey, Induced Representations of locally compact Groups. Annals of Mathematics, t. 55, 1952, p. 101, t. 58, 1953, p. 193. Infinite dimensional Group Representations. Bulletin of the American Mathematical Society, t. 69, 1963, p. 628. | Zbl 0046.11601

[10] M.A. Naimark, Les représentations linéaires du groupe de Lorentz. Dunod, Paris, 1962, Chapter I and III. | MR 138669 | Zbl 0100.12002

[11] V. Bargmann, Annals of Mathematics, t. 48, 1947, p. 568 ; our ρ/2 is identical with Bargmann's s (principal series) and our s/2 with his k (discreet series). | MR 21942 | Zbl 0045.38801

[12] I.M. Gelfand and N. Ya. Vilenkin, Les Distributions, t. IV, Dunod, Paris, 1967, chapter I. | Zbl 0179.18502

[13] I.M. Gelfand, M.I. Graev and N. Ya. Vilenkin, Generalized Functions, Vol. V, Academic Press, New York, 1966, chapter VII. | Zbl 0144.17202

[14] I.M. Gelfand and G.E. Chilov, Les distributions, t. I, Dunod, Paris, 1962. | MR 132390 | Zbl 0115.10102

[15] A.O. Barut and E.C. Phillips, Commun. Math. Phys., t. 8, 1965, p. 52. | MR 226912 | Zbl 0161.23902

[16] N. Ja. Vilenkin, Fonctions spéciales et théorie de la représentation des groupes. Dunod, 1969, chapter VII, § 3. | MR 243143 | Zbl 0172.18405