On the archimedean theory of Rankin-Selberg convolutions for SO 2 l + 1 × GL n

David Soudry

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 2, page 161-224
  • ISSN: 0012-9593

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Soudry, David. "On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times {\rm GL}_n$." Annales scientifiques de l'École Normale Supérieure 28.2 (1995): 161-224. <http://eudml.org/doc/82381>.

@article{Soudry1995,
author = {Soudry, David},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {admissible representations; Whittaker model; meromorphic continuation; Rankin-Selberg convolutions},
language = {eng},
number = {2},
pages = {161-224},
publisher = {Elsevier},
title = {On the archimedean theory of Rankin-Selberg convolutions for $\{\rm SO\}_\{2l+1\}\times \{\rm GL\}_n$},
url = {http://eudml.org/doc/82381},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Soudry, David
TI - On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times {\rm GL}_n$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 2
SP - 161
EP - 224
LA - eng
KW - admissible representations; Whittaker model; meromorphic continuation; Rankin-Selberg convolutions
UR - http://eudml.org/doc/82381
ER -

References

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  3. [GS] S. GELBART and F. SHAHIDI, Analytic properties of automorphic L-functions (Perspectives in Math., Vol. 6, Academic Press, 1988). Zbl0654.10028MR89f:11077
  4. [G] A. GROTHENDIECK, Produits tensoriels topologiques et espaces nucléaires (Memoirs AMS, N° 16, 1955). Zbl0123.30301MR17,763c
  5. [J.S.] H. JACQUET and J. SHALIKA, Rankin-Selberg convolutions : archimedean theory (Israel Mathematical Conference Proc., Festschrift in honor of I. Piatetski-Shapiro, S. Gelbert, R. Howe, P. Sarnak, Ed., Part I, 1990, pp. 125-207). Zbl0712.22011MR93d:22022
  6. [Sh1] F. SHAHIDI, On certain L-functions (American J. Math., Vol. 103, 1981, pp. 297-355). Zbl0467.12013MR82i:10030
  7. [Sh2] F. SHAHIDI, Local coefficients as Artin factors for real groups (Duke Math. J., Vol. 52, 1985, pp. 973-1007). Zbl0674.10027MR87m:11049
  8. [S] D. SOUDRY, Rankin-Selberg convolutions for SO2ℓ+1 × GLn : local theory (Memoirs of AMS, No. 500, 1993, pp. 1-100). Zbl0805.22007
  9. [W1] N. WALLACH, Asymptotic expansions of generalized matrix entries of representations of real reductive groups, in Lie Group Representations I (Proceedings, University of Maryland 1982-1983, Springer Lecture Notes in Mathematics, Vol. 1024, pp. 287-369). Zbl0553.22005MR85g:22029
  10. [W2] N. WALLACH, Real reductive groups I, Academic Press, 1988. Zbl0666.22002MR89i:22029
  11. [W3] N. WALLACH, Real reductive groups II, Academic Press, 1992. Zbl0785.22001MR93m:22018
  12. [Wr] G. WARNER, Harmonic analysis on semi-simple Lie groups I (Grund. Math. Wiss., Vol. 188, Springer-Verlag, 1972). Zbl0265.22020MR58 #16979

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