@article{AIHPA_1979__31_2_99_0, author = {Klink, W. H. and Ton-That, T.}, title = {Orthogonal polynomial bases for holomorphically induced representations of the general linear groups}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {99--113}, publisher = {Gauthier-Villars}, volume = {31}, number = {2}, year = {1979}, mrnumber = {561917}, zbl = {0439.22021}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1979__31_2_99_0/} }
TY - JOUR AU - Klink, W. H. AU - Ton-That, T. TI - Orthogonal polynomial bases for holomorphically induced representations of the general linear groups JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1979 SP - 99 EP - 113 VL - 31 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1979__31_2_99_0/ LA - en ID - AIHPA_1979__31_2_99_0 ER -
%0 Journal Article %A Klink, W. H. %A Ton-That, T. %T Orthogonal polynomial bases for holomorphically induced representations of the general linear groups %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1979 %P 99-113 %V 31 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1979__31_2_99_0/ %G en %F AIHPA_1979__31_2_99_0
Klink, W. H.; Ton-That, T. Orthogonal polynomial bases for holomorphically induced representations of the general linear groups. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 31 (1979) no. 2, pp. 99-113. http://www.numdam.org/item/AIHPA_1979__31_2_99_0/
[1] Representations of Groups, North-Holland Publish-ing Co., Amsterdam, 1970. | MR
,[2] Finite-dimensional representations of the group of unimodular matrices, Dokl. Acad. Nauk. SSSR, t. 71, 1950, p. 825-828 (Russian) MR 12, 9. | MR
and ,[3] Finite-dimensional irreducible representations of the unitary group and the full linear groups, and related special functions, Izv. Akad. NAUK. SSSR Ser. Math., t. 29, 1965, p. 1329-1356 ; English transl., Amer Math. Soc. Transl., (2), t. 64, 1967, p. 116-146, MR 34 # 1450. | MR | Zbl
and ,[4] Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. SU(n) groups, Ann. Inst. Henri Poincaré, Vol. XXXI, n° 2, 1979, p. 77-97. | Numdam | MR | Zbl
and ,[5] Lie group reprensentations and harmonic polynomials of a matrix variable, Trans. Amer. Math. Soc., t. 216, 1976, p. 1-46, MR 53,3 # 3210. | MR | Zbl
,[6] Harmonic Analysis on Semisimple Lie Groups, I », Springer-Verlag, Berlin, 1972. | Zbl
, «[7] Compact Lie groups and their representations, « Nauka », Moscow, 1970; English transl., Transl. Math. Monographs, vol. 40, Amer. Math. Soc., Providence, R. I., 1973. | MR
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