Bounds on the growth of subharmonic frequently oscillating functions

Adi Glücksam

doi:10.1007/s13324-021-00489-1

Bounds on the growth of subharmonic frequently oscillating functions

Adi Glücksam^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We present a Phragmén–Lindelöf type theorem with a flavour 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.

Original language	English (US)
Article number	69
Journal	Analysis and Mathematical Physics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s13324-021-00489-1
State	Published - Jun 2021
Externally published	Yes

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics

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abstract = "We present a Phragm{\'e}n–Lindel{\"o}f type theorem with a flavour of Nevanlinna{\textquoteright}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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Bounds on the growth of subharmonic frequently oscillating functions

Abstract

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