English

The Selberg trace formula revisited

Number Theory 2017-10-06 v1 Representation Theory

Abstract

A new approach to the Selberg trace formula, and more precisely to its spectral side, is developed. The approach relies on a notion of "Plancherel decomposition" of "asymptotically finite functions", and may generalize to obtain a general relative trace formula. This is an incomplete first version that will be complemented by an account of the invariant trace formula.

Keywords

Cite

@article{arxiv.1710.01866,
  title  = {The Selberg trace formula revisited},
  author = {Yiannis Sakellaridis},
  journal= {arXiv preprint arXiv:1710.01866},
  year   = {2017}
}

Comments

80pp

R2 v1 2026-06-22T22:04:14.720Z