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Preprint
Germination phenomena
arXiv.org
26 Oct 2022
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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Details
- Title
- Germination phenomena
- Creators
- J. E Pascoe
- Publication Details
- arXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021880191804721