Integral Geometry in Homogeneous Spaces
Integral Geometry in Homogeneous Spaces
f H°[A r\g(B)]dHk+l+mg = yHk(A)Hl(B).If instead of compact G, one has X = R" and G = R" x 0", then f f H°(An[z+g(B)])dHk + lzd<J>"g = yH\A)H\B), Jo"Jr" where <¡?n is a Haar measure on 0".y is a constant depending only upon A0 and B0.y>0 if and only if …