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quant-ph2000
Harmonic analysis with respect to heat kernel measure
Brian C. Hall
I review certain results in harmonic analysis for systems whose configuration space is a compact Lie group. The results described involve a heat kernel measure, which plays the sam…
quant-ph1999
Holomorphic Methods in Mathematical Physics
Brian C. Hall
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 commut…
quant-ph1999
Coherent states, Yang-Mills theory, and reduction
Brian C. Hall
This paper explains some of the ideas behind a prior joint work of the author with Bruce Driver on the canonical quantization of Yang-Mills theory on a spacetime cylinder. The idea…