Germination phenomena

J. E. Pascoe

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arXiv · 2210.14903

Germination phenomena

J. E. Pascoe

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Abstract

Many theorems in complex analysis propagate analyticity, such as the Forelli theorem, edge-of-the-wedge theorem and so on. We give a germination theorem which allows for general analytic propagation in complete normed fields. In turn, we develop general analogs of the Forelli theorem, edge-of-the-wedge theorem, and the royal road theorem, and gain insight into the geometry of the zero sets of hyperbolic polynomials.

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BibTeX RIS

J. E. Pascoe. 2022-10-26. Germination phenomena. https://arxiv.org/abs/2210.14903

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