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Displaying similar documents to “Finitely generated ideals in A ( ω )

Trivial generators for nontrivial fibres

Linus Carlsson (2008)

Mathematica Bohemica

Similarity:

Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in n where the fibre is nontrivial, has to exceed n . This is shown not to be the case.

On dense ideals in spaces of analytic functions

Mihai Putinar (1994)

Annales de l'institut Fourier

Similarity:

One proves the density of an ideal of analytic functions into the closure of analytic functions in a L p ( μ ) -space, under some geometric conditions on the support of the measure μ and the zero variety of the ideal.