1999/12/31 by Brian C. Hall
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP
published as Contemporary Mathematics, Volume 260, pp. 1-59 · Final version
arxiv created 2000/09/14 · arxiv updated 2009/11/30
This set of lecture notes gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations. Later sections describe more advanced topics such as the Segal-Bargmann transform for compact Lie groups and the infinite-dimensional theory.