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arXiv · 1710.01866

The Selberg trace formula revisited

Yiannis Sakellaridis
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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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Yiannis Sakellaridis. 2017-10-05. The Selberg trace formula revisited. https://arxiv.org/abs/1710.01866

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