Germination phenomena
Complex Variables
2022-10-27 v1 Number Theory
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.
Cite
@article{arxiv.2210.14903,
title = {Germination phenomena},
author = {J. E. Pascoe},
journal= {arXiv preprint arXiv:2210.14903},
year = {2022}
}
Comments
10 pages