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

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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

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  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

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