Math @ Duke

Publications [#302444] of Heekyoung Hahn
Papers Published
 Getz, JR; Hahn, H, A general simple relative trace formula,
Pacific Journal of Mathematics, vol. 277 no. 1
(January, 2015),
pp. 99118, Mathematical Sciences Publishers, ISSN 00308730 [doi]
(last updated on 2021/06/16)
Abstract: In this paper we prove a relative trace formula for all pairs of connected algebraic groups H ≤ G × G, with G a reductive group and H the direct product of a reductive group and a unipotent group, given that the test function satisfies simplifying hypotheses. As an application, we prove a relative analogue of the Weyl law, giving an asymptotic formula for the number of eigenfunctions of the Laplacian on a locally symmetric space associated to G weighted by their L^{2}restriction norm over a locally symmetric subspace associated to H0 ≤ G.


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