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Finitely generated closed ideals inH∞

✍ Scribed by Raymond Mortini


Book ID
112496460
Publisher
Springer
Year
1985
Tongue
English
Weight
146 KB
Volume
45
Category
Article
ISSN
0003-889X

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Finitely generated ideals in A∞(D)
✍ Paolo de Bartolomeis; Giuseppe Tomassini 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 398 KB

Let DE C" be a bounded pseudoconvex domain with P-smooth boundary bD and let V be an analytic subvariety of a neighborhood of 0. Let KV denote the sheaf of ideals of V. From the general theory of Oka-Cartan-Serre it follows that if f, ,...,fk E r(D, &) generate KVy.; at every point z E D, then they