On the decomposition of the tensorial product of two representations of the Poincaré group - Case with at least one imaginary mass
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 13 (1970) no. 2, pp. 163-194. 
@article{AIHPA_1970__13_2_163_0,
     author = {Bertrand, J.},
     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'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {163--194},
     publisher = {Gauthier-Villars},
     volume = {13},
     number = {2},
     year = {1970},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1970__13_2_163_0/}
}
TY  - JOUR
AU  - Bertrand, J.
TI  - On the decomposition of the tensorial product of two representations of the Poincaré group - Case with at least one imaginary mass
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1970
SP  - 163
EP  - 194
VL  - 13
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1970__13_2_163_0/
LA  - en
ID  - AIHPA_1970__13_2_163_0
ER  - 
%0 Journal Article
%A Bertrand, J.
%T On the decomposition of the tensorial product of two representations of the Poincaré group - Case with at least one imaginary mass
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1970
%P 163-194
%V 13
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1970__13_2_163_0/
%G en
%F 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'institut Henri Poincaré. Section A, Physique Théorique, Tome 13 (1970) no. 2, pp. 163-194. http://archive.numdam.org/item/AIHPA_1970__13_2_163_0/

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

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

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

[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

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

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

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

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

[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

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

[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 | Zbl

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

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

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

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

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