Tohoku Mathematical Journal
2023
March
SECOND SERIES VOL. 75, NO. 1

Tohoku Math. J.
75 (2023), 15-37

Title CONSTRUCTION DE LA FONCTION HOLOMORPHE ET BORNÉE DANS UN DOMAINE D'HOLOMORPHIE DE $\mathbb{C}^2$

Author Kazuko Kato

(Received January 29, 2021, revised July 26, 2021)
Abstract. We construct the bounded solution of the second problem of Cousin in the analytic polyedra and in the domain of holomorphy of ${\mathbb C}^2$.

Mathematics Subject Classification. Primary 32A.
Key words and phrases. Problem de Cousin, Polyèdre analytique, Aire de la surface analytique, Zéros de la fonction holomorphe et bornée.

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