Convergence of the Sudarshan Expansion for the Diagonal Coherent-State Weight Functional
Marvin M. Miller · Journal of Mathematical Physics · 1968
The mathematical properties of the original expansion derived by Sudarshan for the diagonal coherent-state weight functional are discussed. It is shown that, for stationary fields, the expansion is a generalized function in the space Z′(R2). The validity of this method of defining the weight functional in the case of arbitrary density operators and its relationship to other approaches to the problem of the diagonal representation is briefly considered.