Washnitzer studied at Princeton University under Emil Artin and in 1950 received a Ph.D. (A Dirichlet Principle for analytic functions of several complex variables) under the supervision of Salomon Bochner.
There, he was a student of Erhard Schmidt, writing a dissertation involving what would later be called the Bergman kernel.
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Given a characteristic functional on a nuclear space A, the Bochner–Minlos theorem (after Salomon Bochner and Robert Adol'fovich Minlos) guarantees the existence and uniqueness of the corresponding probability measure on the dual space , given by