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The trace formula for noncompact quotient. (English) Zbl 0563.10024

Proc. Int. Congr. Math., Warszawa 1983, Vol. 2, 849-859 (1984).
In this brief article the author lucidly describes his recent work on a general form of the Selberg trace formula for reductive groups of arbitrary rank. This formula is beginning to find applications and represents a very important advance in the theory of automorphic forms. By way of examples the author gives an introduction to the ideas involved and this article will be of considerable use to those seeking to become familiar with this new technique.
For the entire collection see [Zbl 0553.00001].

MSC:

11F72 Spectral theory; trace formulas (e.g., that of Selberg)
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings

Citations:

Zbl 0553.00001