Abstract
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 {$\alpha$} + 1 functions in the Hörmander algebra, where {$\alpha$} is the maximum number of codimensions of the complex affine subspaces. Finally, we prove with an example in one complex variable that the number {$\alpha$} + 1 is lowest.
Citation
Shigeki Oh'uchi. "The number of functions defining interpolating varieties." Kodai Math. J. 24 (1) 66 - 75, 2001. https://doi.org/10.2996/kmj/1106157296
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