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math.NT2018
Transfer operators and Hankel transforms between relative trace formulas, I: character theory
Yiannis Sakellaridis
The Langlands functoriality conjecture, as reformulated in the "beyond endoscopy" program, predicts comparisons between the (stable) trace formulas of different groups f…
math.NT2017★ 2 cited
The Selberg trace formula revisited
Yiannis Sakellaridis
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…
math.NT2012★ 1 cited
Beyond endoscopy for the relative trace formula I: local theory
Yiannis Sakellaridis
For the group G = PGL(2) we prove nonstandard matching and the fundamental lemma between two relative trace formulas: on one hand, the relative trace formula of Jacquet for the quo…