Translation-invariant traces and fourier analysis on multiplier representation of vector groups

Quasi-invariant Measures on the Group of

Quasi-invariant Measures on the Group of Diffeomorphisms and Smooth Vectors of Unitary Representations

✍ Hiroaki Shimomura 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 242 KB

Let M be a smooth manifold and Diff 0 (M) the group of all smooth diffeomorphisms on M with compact support. Our main subject in this paper concerns the existence of certain quasi-invariant measures on groups of diffeomorphisms, and the denseness of C . -vectors for a given unitary representation U