On Hille's spectral theory and operational calculus for semi-groups of operators in Hilbert space
Compositio Mathematica, Tome 14 (1959-1960), pp. 71-73. 
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     author = {Foia\c{s}, Ciprian},
     title = {On {Hille's} spectral theory and operational calculus for semi-groups of operators in {Hilbert} space},
     journal = {Compositio Mathematica},
     pages = {71--73},
     publisher = {Kraus Reprint},
     volume = {14},
     year = {1959-1960},
     mrnumber = {105027},
     zbl = {0086.31903},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1959-1960__14__71_0/}
}
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Foiaş, Ciprian. On Hille's spectral theory and operational calculus for semi-groups of operators in Hilbert space. Compositio Mathematica, Tome 14 (1959-1960), pp. 71-73. http://archive.numdam.org/item/CM_1959-1960__14__71_0/

E. Hille [1] Functional Analysis and Semi-groups. New York, 1948. | MR | Zbl

C. Foiaş [2] La mesure harmonique spectrale et la théorie spectrale des opérateurs généraux d'un espace de Hilbert. Bull. de la Soc. Math. de France 85, (1957). | Numdam | MR | Zbl

J.V. Neumann [3] Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachr. 4, (1951). | MR | Zbl

F. Riesz and B. Sz.-Nagy [4] Leçons d'analyse fonctionnelle, Budapest, 1953. | Zbl