A remark on Whittaker functions on SL$(n,{\mathbb {R}})$

Ishii, Taku

A remark on Whittaker functions on SL

(n, ℝ)

[Une remarque sur les fonctions de Whittaker sur SL

(n, ℝ)

]

Ishii, Taku

Annales de l'Institut Fourier, Tome 55 (2005), p. 483-492 / Harvested from Numdam

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Résumé
Abstract

Nous montrons des formules intégrales récursives pour les fonctions de $M$ -Whittaker de classe un, qui ont été conjecturées (et vérifiées pour $n = 3, 4$ ) par Stade.

We prove the recursive integral formula of class one $M$ -Whittaker functions on SL $(n, ℝ)$ conjectured and verified in case of $n = 3, 4$ by Stade.

Publié le : 2005-01-01

MR 2147897 | Zbl 1064.11040

DOI : https://doi.org/10.5802/aif.2104
Classification: 11F55, 33C20
Mots clés: fonctions de Whittaker, formes automorphes

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     author = {Ishii, Taku},
     title = {A remark on Whittaker functions on SL$(n,{\mathbb {R}})$},
     journal = {Annales de l'Institut Fourier},
     volume = {55},
     year = {2005},
     pages = {483-492},
     doi = {10.5802/aif.2104},
     mrnumber = {2147897},
     zbl = {1064.11040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2005__55_2_483_0}
}

Ishii, Taku. A remark on Whittaker functions on SL$(n,{\mathbb {R}})$. Annales de l'Institut Fourier, Tome 55 (2005) pp. 483-492. doi : 10.5802/aif.2104. http://gdmltest.u-ga.fr/item/AIF_2005__55_2_483_0/

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