Publications [#292889] of Jayce R. Getz

Papers Published

1. Getz, JR; Hahn, H, A general simple relative trace formula, Pacific Journal of Mathematics, vol. 277 no. 1 (January, 2015), pp. 99-118, Mathematical Sciences Publishers, ISSN 0030-8730
   (last updated on 2024/04/22)

   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 L²-restriction norm over a locally symmetric subspace associated to H0 ≤ G.