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arXiv · 1706.06219

Interpolation of Holomorphic functions

Pablo Jiménez-Rodíguez
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Abstract

Interpolation Theory gives techniques for constructing spaces from two initial Banach spaces. We provide several conditions under which the restriction of a holomorphic map $f:X_0+X_1 \rightarrow Y_0+Y_1$ to the interpolated spaces (using some specific interpolation methods), where $f_{|X_0}:X_0 \rightarrow Y_0$ is compact, is also compact and holomorphic.

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Pablo Jiménez-Rodíguez. 2017-06-19. Interpolation of Holomorphic functions. https://arxiv.org/abs/1706.06219

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