Essential Whittaker functions for $\mathrm{GL}(n)$

Nadir Matringe

doi:10.4171/dm/425

JournalsdmVol. 18pp. 1191–1214

Essential Whittaker functions for $\mathrm{GL}(n)$

Nadir Matringe
Université de Poitiers Laboratoire de Mathématiques et Applications Téléport 2 - BP 30179 Boulevard Marie et Pierre Curie 86962, Futuroscope Chasseneuil France

$Essential Whittaker functions for $\mathrm{GL}(n)$ cover$

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Abstract

We give a constructive proof of the existence of the essential Whittaker function of a generic representation of $GL(n,F)$ , for $F$ a non-archimedean local field, using mirabolic restriction techniques.

Cite this article

Nadir Matringe, Essential Whittaker functions for $\mathrm{GL}(n)$ . Doc. Math. 18 (2013), pp. 1191–1214

DOI 10.4171/DM/425