Geodesic
Spectral study of holomorphic functions with bounded growth
Annales de l'Institut Fourier, Tome 22 (1972) no. 2, pp. 293-309

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This paper studies properties of a large class of algebras of holomorphic functions with bounded growth in several complex variables.

The main result is useful in the applications. Using the symbolic calculus of L. Waelbroeck, it gives for instance a theorem of the “Nullstellensatz” type and approximation theorems.

Cet article concerne une classe importante d’algèbres de fonctions holomorphes à croissance en plusieurs variables complexes. Le résultat principal est utile dans les applications. En utilisant le calcul symbolique de L. Waelbroeck, on en déduit entre autres un théorème du type “Nullstellensatz” et des théorèmes d’approximation.

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     author = {Cnop, Ivan},
     title = {Spectral study of holomorphic functions with bounded growth},
     journal = {Annales de l'Institut Fourier},
     pages = {293--309},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {22},
     number = {2},
     year = {1972},
     doi = {10.5802/aif.420},
     mrnumber = {49 #632},
     zbl = {0226.46029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.420/}
}
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Cnop, Ivan. Spectral study of holomorphic functions with bounded growth. Annales de l'Institut Fourier, Tome 22 (1972) no. 2, pp. 293-309. doi: 10.5802/aif.420

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