Local Properties of Measures in Quantum Field Theory and Cosmology
We show that measure theoretical results concerning the Ashtekar{Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a cha- racterization of the support of the measure associated with the canonical quantization of the free massive scalar field, following closely well known analogous results concerning the Euclidean path integral measure.