On Quantum unique ergodicity for locally symmetric spaces I

Details On Quantum unique ergodicity for locally symmetric spaces I On Quantum unique ergodicity for locally symmetric spaces I

2004-07-24

arxiv.org/abs/math/0407413v1

Mathematics

Representation Theory

37 pages; Part II in preparation

Scientific paper

We construct an equivariant microlocal lift for locally symmetric spaces. In other words, we demonstrate how to lift, in a ``semi-canonical'' fashion, limits of eigenfunction measures on locally symmetric spaces to Cartan-invariant measures on an appropriate bundle. The construction uses elementary features of the representation theory of semisimple real Lie groups, and can be considered a generalization of Zelditch's results from the upper half-plane to all locally symmetric spaces of noncompact type. This will be applied in a sequel to settle a version of the quantum unique ergodicity problem on certain locally symmetric spaces.

Affiliated with

Also associated with

No associations

Rating

On Quantum unique ergodicity for locally symmetric spaces I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Quantum unique ergodicity for locally symmetric spaces I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Quantum unique ergodicity for locally symmetric spaces I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397827