Relative discrete series of line bundles over bounded symmetric domains
Annales de l'Institut Fourier, Volume 46 (1996) no. 4, pp. 1011-1026.

We study the relative discrete series of the L 2 -space of the sections of a line bundle over a bounded symmetric domain. We prove that all the discrete series appear as irreducible submodules of the tensor product of a holomorphic discrete series with a finite dimensional representation.

Cet article est une étude de la série relative discrète de l’espace des sections L 2 d’un fibré sur un domaine symétrique borné. On démontre que toute série discrète provient, en tant que sous-module irréductible, d’un produit tensoriel d’une série holomorphe discrète par une représentation de dimension finie.

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     title = {Relative discrete series of line bundles over bounded symmetric domains},
     journal = {Annales de l'Institut Fourier},
     pages = {1011--1026},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {46},
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     year = {1996},
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     url = {http://archive.numdam.org/articles/10.5802/aif.1538/}
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Dooley, Anthony H.; Ørsted, Bent; Zhang, Genkai. Relative discrete series of line bundles over bounded symmetric domains. Annales de l'Institut Fourier, Volume 46 (1996) no. 4, pp. 1011-1026. doi : 10.5802/aif.1538. http://archive.numdam.org/articles/10.5802/aif.1538/

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