Mellin transforms of Whittaker functions

Solomon Friedberg; Dorian Goldfeld

Bulletin de la Société Mathématique de France (1993)

  • Volume: 121, Issue: 1, page 91-107
  • ISSN: 0037-9484

How to cite

top

Friedberg, Solomon, and Goldfeld, Dorian. "Mellin transforms of Whittaker functions." Bulletin de la Société Mathématique de France 121.1 (1993): 91-107. <http://eudml.org/doc/87662>.

@article{Friedberg1993,
author = {Friedberg, Solomon, Goldfeld, Dorian},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Mellin transform; Whittaker function; meromorphic continuation; reductive algebraic group},
language = {eng},
number = {1},
pages = {91-107},
publisher = {Société mathématique de France},
title = {Mellin transforms of Whittaker functions},
url = {http://eudml.org/doc/87662},
volume = {121},
year = {1993},
}

TY - JOUR
AU - Friedberg, Solomon
AU - Goldfeld, Dorian
TI - Mellin transforms of Whittaker functions
JO - Bulletin de la Société Mathématique de France
PY - 1993
PB - Société mathématique de France
VL - 121
IS - 1
SP - 91
EP - 107
LA - eng
KW - Mellin transform; Whittaker function; meromorphic continuation; reductive algebraic group
UR - http://eudml.org/doc/87662
ER -

References

top
  1. [B] BUMP (D.). — Automorphic Forms on GL(3, ℝ), Lecture Notes in Math., 1083, 1984, Springer Verlag. Zbl0543.22005MR86g:11028
  2. [BF1] BUMP (D.) and FRIEDBERG (S.). — On Mellin transforms of unramified Whittaker functions on GL(3, ℂ), J. Math. Anal. Appl., t. 139, 1989, p. 205-216. Zbl0675.33008MR90k:22009
  3. [BF2] BUMP (D.) and FRIEDBERG (S.). — The exterior square automorphic L-functions on GL(n), Israel Math. Conf. Proc., t. 3, 1990, p. 47-65. Zbl0712.11030MR93d:11050
  4. [BFG] BUMP (D.) and FRIEDBERG (S.) and GOLDFELD (D.). — Poincaré series and Kloosterman sums for SL(3, ℤ), Acta Arith., t. 50, 1988, p. 31-89. Zbl0647.10020MR89j:11047
  5. [EL] ERDÖS (P.) and LEHNER (J.). — The distribution of the number of summands in the partitions of a positive integer, Duke Math. J., t. 8, 1941, p. 335-345. Zbl0025.10703MR3,69aJFM67.0126.02
  6. [F] FRIEDBERG (S.). — Poincaré series for GL(n) : Fourier expansion, Kloosterman sums, and algebreo-geometric estimates, Math. Z., t. 196, 1987, p. 165-188. Zbl0612.10020MR88m:11032
  7. [G] GOLDFELD (D.). — Kloosterman zeta functions for GL(n, ℤ), Proc. Intern. Cong. Math., 1986, p. 417-424. Zbl0667.10027MR89k:11039
  8. [HC] HARISH-CHANDRA. — Spherical functions on a semisimple Lie group I, Amer. J. Math., t. 80, 1958, p. 241-310. Zbl0093.12801MR20 #925
  9. [H] HELGASON (S.). — Groups and Geometric Analysis. - Academic Press, 1984. Zbl0543.58001MR86c:22017
  10. [J] JACQUET (H.). — Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France, t. 95, 1967, p. 243-309. Zbl0155.05901MR42 #6158
  11. [JS1] JACQUET (H.) and SHALIKA (J.). — Exterior square L-functions, in Automorphic Forms, Shimura Varieties, and L-functions, Academic Press, 1990, pp. 143-226. Zbl0695.10025MR91g:11050
  12. [JS2] JACQUET (H.) and SHALIKA (J.). — On Euler products and the classification of automorphic representations I, Amer. J. Math., t. 103, 1981, p. 499-558. Zbl0473.12008MR82m:10050a
  13. [Sc] SCHIFFMANN (G.). — Intégrales d'enterlacement et fonctions de Whittaker, Bull. Soc. Math. France, t. 99, 1971, p. 3-72. Zbl0223.22017MR47 #400
  14. [Sta] STADE (E.). — On explicit integral formulas for GL(n, ℝ) - Whittaker functions, Duke Math. J., t. 60, 1990, p. 313-362. Zbl0731.11027MR92a:11060
  15. [Ste] STEVENS (G.). — Poincaré series on GL(r) and Kloosterman sums, Math. Ann., t. 277, 1987, p. 25-51. Zbl0597.12017MR88m:11031

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.