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@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'I.H.P. Physique th\'eorique}, pages = {163--194}, publisher = {Gauthier-Villars}, volume = {13}, number = {2}, year = {1970}, language = {en}, url = {http://geodesic.mathdoc.fr/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'I.H.P. Physique théorique PY - 1970 SP - 163 EP - 194 VL - 13 IS - 2 PB - Gauthier-Villars UR - http://geodesic.mathdoc.fr/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'I.H.P. Physique théorique %D 1970 %P 163-194 %V 13 %N 2 %I Gauthier-Villars %U http://geodesic.mathdoc.fr/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'I.H.P. Physique théorique, Tome 13 (1970) no. 2, pp. 163-194. http://geodesic.mathdoc.fr/item/AIHPA_1970__13_2_163_0/
[1] Fortschritte der Physik, t. 10, 1962, p. 65. | Zbl
,[2] Journal of Math. and Mec., t. 10, 1961, p. 475. | Zbl | MR
,[3] Reviews of Modern Physics, t. 34, 1962, p. 41. | Zbl | MR
,[4] 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
and ,[5] Ann. Inst. Henri Poincaré, t. III A, 1965, p. 339. | Zbl | MR | mathdoc-id
.[6] J. Math. Phys., t. 7, 1965, p. 434.
,[7] J. Math. Phys., t. 7, 1966, p. 997. | Zbl | MR
,[8] Clebsch-Gordan coefficients and functions over cosets. University of Iowa preprint, October 1967. | MR
,[9] 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] Les représentations linéaires du groupe de Lorentz. Dunod, Paris, 1962, Chapter I and III. | Zbl | MR
,[11] 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). | Zbl | MR
,[12] Les Distributions, t. IV, Dunod, Paris, 1967, chapter I. | Zbl
and ,[13] Generalized Functions, Vol. V, Academic Press, New York, 1966, chapter VII. | Zbl
, and ,[14] Les distributions, t. I, Dunod, Paris, 1962. | Zbl | MR
and ,[15] Commun. Math. Phys., t. 8, 1965, p. 52. | Zbl | MR
and ,[16] Fonctions spéciales et théorie de la représentation des groupes. Dunod, 1969, chapter VII, § 3. | Zbl | MR
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