Hewitt pioneered the construction of the hyperreals by means of an ultrapower construction (Hewitt, 1948).
Hewitt wrote the 1975 English translation of A. A. Kirillov's 1972 Russian monograph ''Elements of the Theory of Representations'' (Элементы Теории Представлений), and co-authored ''Abstract Harmonic Analysis'' with Kenneth A. Ross (1st edn., 1st vol. in 1963; 1st edn., 2nd vol. in 1970), an extensive work in two volumes.
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