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arXiv · 1408.6144

Weighted interpolation from certain singular affine hypersurfaces

Vamsi Pingali
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Abstract

We prove that square integrable holomorphic functions (with respect to a plurisubharmonic weight) can be extended in a square integrable manner from certain singular hypersurfaces (which include uniformly flat, normal crossing divisors) to entire functions in affine space. This provides evidence for a conjecture regarding the positivity of the curvature of the weight under consideration.

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Vamsi Pingali. 2014-08-26. Weighted interpolation from certain singular affine hypersurfaces. https://arxiv.org/abs/1408.6144

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