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The theorem of Morera in several variables. (English) Zbl 0052.30703


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[1] Severi, F., Sur une propriété fondamentale des fonctions analytiques de plusieurs variables complexes, 192-192 (1931), Paris: Comptes Rendus, Paris · JFM 57.0392.01
[2] Compare, for instance,S. Bochner andW. T. Martin,Several complex variables, (1948), p. 37. · Zbl 0041.05205
[3] For the propositions of which Theorem 1 is the converse seeB. Segre,Sull’estensione della formula integrale di Cauchy e sui residui degli integrali n-pli nella teoria delle funzioni di n variabili complesse, « Atti I Congresso U. M. I. », Bologna, (1937), andE. Martinelli,Formule Integrali e topologia nella teoria delle funzioni di più variabili complesse, « Acta Pontif Acad. Scient. », IX, p. 235-250. · JFM 66.0383.01
[4] S. Bochner andW. T. Martin, loc. cit., p. 109-13.
[5] Bochner andMartin, loc. cit., p. 36.
[6] Compare our paper:Formal Lie groups, « Annals of Math. », 47, (1946), 192-201. · Zbl 0063.00488
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