Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
The number of functions defining interpolating varieties
Shigeki Oh'uchi
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2001 年 24 巻 1 号 p. 66-75

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In this paper, we prove that if a disjoint union of a countable number of complex affine subspaces is interpolating for the Hörmander algebra, then it can be written as the common zero set of α+1 functions in the Hörmander algebra, where α is the maximum number of codimensions of the complex affine subspaces. Finally, we prove with an example in one complex variable that the number α+1 is lowest.
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© Department of Mathematics, Tokyo Institute of Technology
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