|
[1] A. O. Barut and R. Raczka, Theory of Group Representation and Applications, Polish Scientific Publishers, Warszawa, 1980.
[2] N. Bourbaki, Eléments de Mathematique, Premiére Partie, Livre I Théorie des ensembles, Ch. 1 & 2, Hermann, Paris, 1960.
[3] N. Bourbaki, Algébre, Ch. 13, Hermann, Paris, 1970.
[4] F. Bruhat, Distribution sur un Groupe Localement compact et Applications à l’étude des Représentations des Groupes P-adiques, Bull. Soc. Math. France 89 (1961), 43-75.
[5] C. Champetier and P. Delorme, Sur les Représentations des Groupes de Déplacements de Cartan, J. Funct. Anal. 43(2) (1981), 258-279.
[6] J. Dixmier, Algébres Enveloppantes, Gauthiers-Villars, Paris, 1974.
[7] J. Faraut, Infinite Dimensional Harmonic Analysis and Probability, Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie and C.N.R.S.
[8] K. Kangni, Transformation et Distribution Sphériques de Type d, Thése de doctorat d’Etat Abidjan, 2000.
[9] K. Kangni and S. Toure, d-spherical functions on semi-direct product groups, to appear.
[10] A. A. Kirillov, Representation Theory and Noncommutative Harmonic Analysis I, Springer-Verlag, E.M.S. 22.
[11] B. Kostant, Lie groups representations on polynomial rings, Amer. J. Math. 86 (1963), 327-402.
[12] B. Kostant and S. Rallis, Orbits and representations associated with symmetric spaces, Amer. J. Math. 93 (1971), 753-809.
[13] G. Olshanski, The problem of harmonic analysis on the infinite-dimensional unitary group, Math.RT/0109193 v1 24 Sep. 2001.
[14] D. Pickrell, Separable representations for automorphism groups of infinite symmetric spaces, J. Funct. Anal. 89 (1990), 1-26.
[15] D. Pickrell, MACKEY analysis of infinite classical motion groups, Pacific J. Math. 150(1) (1991), 139-166.
[16] N. S. Poulsen, On -vectors and intertwining bilinear forms for representations of Lie groups, J. Funct. Anal. 9 (1972), 87-120.
[17] S. Toure, Introduction la Théorie des Représentations des Groupes Topologiques, Publications de l’IRMA, Universit´e d’Abidjan, Mai, 1991.
[18] A. M. Versik and S. V. Kerov, Characters and factor representations of the infinite unitary group, Soviet. Math. Dokl. 26(3) (1982), 570-574.
[19] D. Voiculescu, Représentations Factorielles de Type II1 de J. Math. Pures et Appl. 55 (1976), 1-20.
[20] G. Warner, Harmonic Analysis on Semi-simple Lie Groups I, Springer-Verlag, Berlin, New York, 1972. |