International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 8, Pages 1299-1315
An explicit construction of a geodesic flow-invariant distribution lying in the
discrete series of weight isotopic component is found, using
techniques from representation theory of . It is found that the distribution represents an AC measure on the unit tangent bundle
of the hyperbolic plane minus an explicit singular set. Finally, via an averaging argument, a geodesic flow-invariant distribution on a closed hyperbolic surface is obtained.