The generalized Whittaker functions for $SU(2,1)$ and the Fourier expansion of automorphic forms
Ishikawa, Yoshi-hiro
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 55-59 / Harvested from Project Euclid
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Explicit form of Fourier expansion of automorphic forms plays an important role in the theory. Here we investigate the case of $SU(2,1)$ and give an explicit formula of generalized Whittaker functions for the standard representations of the group. Togather with a result of [2], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.
Publié le : 2000-05-14
Classification:  Generalized Whittaker functions,  automorphic forms,  Fourier expansion,  11F70,  11F30,  22E30,  33C15 
@article{1148393513,
     author = {Ishikawa, Yoshi-hiro},
     title = {The generalized Whittaker functions for $SU(2,1)$ and the Fourier expansion of automorphic forms},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 55-59},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393513}
}

Ishikawa, Yoshi-hiro. The generalized Whittaker functions for $SU(2,1)$ and the Fourier expansion of automorphic forms. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  55-59. http://gdmltest.u-ga.fr/item/1148393513/