A general simple relative trace formula

Published

Journal Article

© 2015 Mathematical Sciences Publishers. 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.

Full Text

Duke Authors

Cited Authors

  • Getz, JR; Hahn, H

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 277 / 1

Start / End Page

  • 99 - 118

International Standard Serial Number (ISSN)

  • 0030-8730

Digital Object Identifier (DOI)

  • 10.2140/pjm.2015.277.99

Citation Source

  • Scopus