# A trace formula for reductive groups. II : applications of a truncation operator

Compositio Mathematica (1980)

- Volume: 40, Issue: 1, page 87-121
- ISSN: 0010-437X

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topArthur, James. "A trace formula for reductive groups. II : applications of a truncation operator." Compositio Mathematica 40.1 (1980): 87-121. <http://eudml.org/doc/89429>.

@article{Arthur1980,

author = {Arthur, James},

journal = {Compositio Mathematica},

keywords = {truncation operator; integrability; development of Selberg trace formula; reductive group},

language = {eng},

number = {1},

pages = {87-121},

publisher = {Sijthoff et Noordhoff International Publishers},

title = {A trace formula for reductive groups. II : applications of a truncation operator},

url = {http://eudml.org/doc/89429},

volume = {40},

year = {1980},

}

TY - JOUR

AU - Arthur, James

TI - A trace formula for reductive groups. II : applications of a truncation operator

JO - Compositio Mathematica

PY - 1980

PB - Sijthoff et Noordhoff International Publishers

VL - 40

IS - 1

SP - 87

EP - 121

LA - eng

KW - truncation operator; integrability; development of Selberg trace formula; reductive group

UR - http://eudml.org/doc/89429

ER -

## References

top- [1] J. Arthur: (a) The characters of discrete series as orbital integrals. Inv. Math.32 (1976) 205-261. Zbl0359.22008MR412348
- (b) Eisenstein series and the trace formula, in Automorphic Forms, Representations and L-functions, A. M. S., 1979. Zbl0431.22016
- (c) A trace formula for reductive groups I. Duke Math. J.45 (1978) 911-952. Zbl0499.10032MR518111
- [2] A. Borel: Ensembles fundamentaux pour les groups arithmétiques et forms automorphes, E. N. S., 1967.
- [3] Harish-Chandra: Automorphic forms on semisimple Lie groups. Springer-Verlag, 1968. Zbl0186.04702MR232893
- [4] R. Langlands: (a) Eisenstein series, in Algebraic groups and discontinuous subgroups. A. M. S.1966. MR249539
- (b) On the functional equations satisfied by Eisenstein, series, Springer-Verlag, 1976. Zbl0332.10018MR579181

## Citations in EuDML Documents

top- James Arthur, A local trace formula
- Jens Franke, Harmonic analysis in weighted ${L}_{2}$-spaces
- Jean-Pierre Labesse, La formule des traces d'Arthur-Selberg
- Yuval Z. Flicker, Distinguished representations and a Fourier summation formula
- A. Borel, J.-P. Labesse, J. Schwermer, On the cuspidal cohomology of $S$-arithmetic subgroups of reductive groups over number fields
- Yuval Z. Flicker, A Fourier summation formula for the symmetric space $\mathrm{GL}\left(n\right)/\mathrm{GL}(n-1)$

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