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CrossRef Open Access 2001 3 sitasi

Fourier–Jacobi Type Spherical Functions for Discrete Series Representations of Sp(2, $\Bbb R$)

Miki Hirano
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Abstrak

In this paper we define a kind of generalized spherical functions on Sp (2, $\Bbb R$ ). We call it ‘Fourier–Jacobi type’, since it can be considered as a generalized Whittaker model associated with the Jacobi maximal parabolic subgroup. Also we give the multiplicity theorem and an explicit formula of these functions for discrete series representations of Sp (2, $\Bbb R$ ).

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M

Miki Hirano

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Hirano, M. (2001). Fourier–Jacobi Type Spherical Functions for Discrete Series Representations of Sp(2, $\Bbb R$). https://doi.org/10.1023/a:1017528120756

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Informasi Jurnal
Tahun Terbit
2001
Bahasa
en
Total Sitasi
3×
Sumber Database
CrossRef
DOI
10.1023/a:1017528120756
Akses
Open Access ✓