Relative discrete series of line bundles over bounded symmetric domains

Anthony H. Dooley; Bent Ørsted; Genkai Zhang

Annales de l'institut Fourier (1996)

  • Volume: 46, Issue: 4, page 1011-1026
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Dooley, Anthony H., Ørsted, Bent, and Zhang, Genkai. "Relative discrete series of line bundles over bounded symmetric domains." Annales de l'institut Fourier 46.4 (1996): 1011-1026. <http://eudml.org/doc/75197>.

@article{Dooley1996,
abstract = {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.},
author = {Dooley, Anthony H., Ørsted, Bent, Zhang, Genkai},
journal = {Annales de l'institut Fourier},
keywords = {bounded symmetric domain; line bundle; relative discrete series; holomorphic discrete series},
language = {eng},
number = {4},
pages = {1011-1026},
publisher = {Association des Annales de l'Institut Fourier},
title = {Relative discrete series of line bundles over bounded symmetric domains},
url = {http://eudml.org/doc/75197},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Dooley, Anthony H.
AU - Ørsted, Bent
AU - Zhang, Genkai
TI - Relative discrete series of line bundles over bounded symmetric domains
JO - Annales de l'institut Fourier
PY - 1996
PB - Association des Annales de l'Institut Fourier
VL - 46
IS - 4
SP - 1011
EP - 1026
AB - 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.
LA - eng
KW - bounded symmetric domain; line bundle; relative discrete series; holomorphic discrete series
UR - http://eudml.org/doc/75197
ER -

References

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