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
Finitely generated ideals in certain function algebras
โ Scribed by Norberto Kerzman; Alexander Nagel
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 231 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-1236
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๐ SIMILAR VOLUMES
We characterise the closure in C (R, R) of the algebra generated by an arbitrary finite point-separating set of C functions. The description is local, involving Taylor series. More precisely, a function f # C belongs to the closure of the algebra generated by 1 , ..., r as soon as it has the ``right
## Abstract In this paper, weakly homogeneous generalized functions in the special Colombeau algebras are determined up to equality in the sense of generalized distributions. This yields characterizations that are formally similar to distribution theory. Further, we give several characterizations o