Comment on “Coherent states on spheres” [J. Math. Phys. 43, 1211 (2002)]

Hall and Mitchell described a family of heat kernels (or equivalently coherent states) and an associated resolution of the identity for a quantum particle whose classical configuration space is the d-dimensional sphere Sd J. Math. Phys. 43(3), 1211 (2002). These heat kernels were chosen intelligently but in the case of d = 2, “one” of the formulas for the heat kernel must be corrected.