Global automorphic Sobolev theory and the automorphic heat kernel
Global automorphic Sobolev theory and the automorphic heat kernel
Heat kernels arise in a variety of contexts including probability, geometry, and functional analysis; the automorphic heat kernel is particularly important in number theory and string theory. The typical construction of an automorphic heat kernel as a Poincaré series presents analytic difficulties, which can be dealt with in special cases …