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Bounds on the growth of subharmonic frequently oscillating functions

Complex Variables 2021-02-22 v2 Analysis of PDEs

Abstract

We present a Phragm\'en-Lindel\"of type theorem with a flavor of Nevanlinna's theorem for subharmonic functions with frequent oscillations between zero and one. We use a technique inspired by a paper of Jones and Makarov.

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Cite

@article{arxiv.2004.06148,
  title  = {Bounds on the growth of subharmonic frequently oscillating functions},
  author = {Adi Glücksam},
  journal= {arXiv preprint arXiv:2004.06148},
  year   = {2021}
}

Comments

36 pages, 12 figures