On the sharpness of a three circles theorem for discrete harmonic functions

Gabor Lippner; Dan Mangoubi

doi:10.1093/imrn/rnw069

On the sharpness of a three circles theorem for discrete harmonic functions

Gabor Lippner
, Dan Mangoubi

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

In this article we find the sharp error term in an L²-three circles theorem for discrete harmonic functions on ℤ². The proof is highly indirect due to combinatorial obstacles and cancellations phenomena. We exploit Newton interpolation methods and recursive arguments.

Original language	English
Pages (from-to)	1487-1503
Number of pages	17
Journal	International Mathematics Research Notices
Volume	2017
Issue number	5
DOIs	https://doi.org/10.1093/imrn/rnw069
State	Published - 1 Mar 2017

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1093/imrn/rnw069

Cite this

@article{8aa3caa189bb40ba8f5d4f18c75be05b,

title = "On the sharpness of a three circles theorem for discrete harmonic functions",

abstract = "In this article we find the sharp error term in an L2-three circles theorem for discrete harmonic functions on ℤ2. The proof is highly indirect due to combinatorial obstacles and cancellations phenomena. We exploit Newton interpolation methods and recursive arguments.",

author = "Gabor Lippner and Dan Mangoubi",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2016. Published by Oxford University Press.",

year = "2017",

month = mar,

day = "1",

doi = "10.1093/imrn/rnw069",

language = "English",

volume = "2017",

pages = "1487--1503",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "5",

}

TY - JOUR

T1 - On the sharpness of a three circles theorem for discrete harmonic functions

AU - Lippner, Gabor

AU - Mangoubi, Dan

PY - 2017/3/1

Y1 - 2017/3/1

N2 - In this article we find the sharp error term in an L2-three circles theorem for discrete harmonic functions on ℤ2. The proof is highly indirect due to combinatorial obstacles and cancellations phenomena. We exploit Newton interpolation methods and recursive arguments.

AB - In this article we find the sharp error term in an L2-three circles theorem for discrete harmonic functions on ℤ2. The proof is highly indirect due to combinatorial obstacles and cancellations phenomena. We exploit Newton interpolation methods and recursive arguments.

UR - https://www.scopus.com/pages/publications/85024491641

U2 - 10.1093/imrn/rnw069

DO - 10.1093/imrn/rnw069

M3 - Article

SN - 1073-7928

VL - 2017

SP - 1487

EP - 1503

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 5

ER -

On the sharpness of a three circles theorem for discrete harmonic functions

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this