Geodesic
Meromorphic Continuation of Spherical Cuspidal Data Eisenstein Series
Canadian journal of mathematics, Tome 59 (2007) no. 6, pp. 1121-1134

Voir la notice de l'article provenant de la source Cambridge University Press

Meromorphic continuation of the Eisenstein series induced from spherical, cuspidal data on parabolic subgroups is achieved via reworking Bernstein's adaptation of Selberg's third proof of meromorphic continuation.
DOI : 10.4153/CJM-2007-048-x
Mots-clés : 11F72, 32N10, 32D15 
Alayont, Feryâl. Meromorphic Continuation of Spherical Cuspidal Data Eisenstein Series. Canadian journal of mathematics, Tome 59 (2007) no. 6, pp. 1121-1134. doi: 10.4153/CJM-2007-048-x
@article{10_4153_CJM_2007_048_x,
     author = {Alayont, Fery\^al},
     title = {Meromorphic {Continuation} of {Spherical} {Cuspidal} {Data} {Eisenstein} {Series}},
     journal = {Canadian journal of mathematics},
     pages = {1121--1134},
     year = {2007},
     volume = {59},
     number = {6},
     doi = {10.4153/CJM-2007-048-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2007-048-x/}
}
TY  - JOUR
AU  - Alayont, Feryâl
TI  - Meromorphic Continuation of Spherical Cuspidal Data Eisenstein Series
JO  - Canadian journal of mathematics
PY  - 2007
SP  - 1121
EP  - 1134
VL  - 59
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2007-048-x/
DO  - 10.4153/CJM-2007-048-x
ID  - 10_4153_CJM_2007_048_x
ER  - 
%0 Journal Article
%A Alayont, Feryâl
%T Meromorphic Continuation of Spherical Cuspidal Data Eisenstein Series
%J Canadian journal of mathematics
%D 2007
%P 1121-1134
%V 59
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2007-048-x/
%R 10.4153/CJM-2007-048-x
%F 10_4153_CJM_2007_048_x

[A78] Arthur, J., A trace formula for reductive groups. I. Terms associated to classes in G(Q). Duke Math. J. 45(1978), no. 4, 911–952. Google Scholar

[A80] Arthur, J., A trace formula for reductive groups. II. Applications of a truncation operator. Compositio Math. 40(1980), no. 1, 87–121. Google Scholar

[Ga01a] Garrett, P., Meromorphic continuation of Eisenstein series for SL(2). http://www.math.umn.edu/∼garrett/m/v/mero_contn_eis.ps. Google Scholar

[Ga01b] Garrett, P., The theory of the constant term. http://www.math.umn.edu/∼garrett/m/v/constant_term.ps. Google Scholar

[Ga01c] Garrett, P., Meromorphic continuation of higher-rank Eisenstein series. http://www.math.umn.edu/∼garrett/m/v/tel_aviv_talk.ps. Google Scholar

[Go67] Godement, R., Introduction á la théorie de Langlands. Séminaire Bourbaki 1966/1967, No. 321. Google Scholar

[H83] Hejhal, D. A., The Selberg trace formula for PSL(2, R). Lecture Notes in Mathematics 1001, Springer-Verlag, Berlin, 1983. Google Scholar

[L66] Langlands, R. P., Eisenstein series. In: Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 1966, pp. 235–252. Google Scholar

[L76] Langlands, R. P., On the Functional Equations Satisfied by Eisenstein Series. Lecture Notes in Mathematics 544, Springer-Verlag, New York, 1976. Google Scholar

[MW95] Moeglin, C. and Waldspurger, J.-L., Spectral Decomposition and Eisenstein Series: Une Paraphrase de l’ Écriture. Cambridge Tracts in Mathematics 113, Cambridge, Cambridge University Press, 1995. Google Scholar

[R91] Rudin, W., Functional Analysis. Second edition. McGraw-Hill, New York, 1991. Google Scholar

[W90] Wong, S.-T., The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Groups. Mem. Amer.Math. Soc. 83(1990), no. 423. Google Scholar

Cité par Sources :