2017•arXiv (Cornell University)Open access

The Selberg trace formula revisited

Yiannis Sakellaridis

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.

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Key concepts: Selberg trace formula, TRACE (psycholinguistics), Mathematics, Pure mathematics, Philosophy, Linguistics, Riemann hypothesis