Quantum unique ergodicity for Eisenstein series on
In this paper we prove microlocal version of the equidistribution theorem for Wigner distributions associated to Eisenstein series on . This generalizes a recent result of W. Luo and P. Sarnak who proves equidistribution for . The averaged versions of these results have been proven by Zelditch for an arbitrary finite-volume surface, but our proof depends essentially on the presence of Hecke operators and works only for congruence subgroups of . In the proof the key estimates come from applying...