论文标题

在楔子中构建离散的谐波功能

Constructing discrete harmonic functions in wedges

论文作者

Hoang, Viet Hung, Raschel, Kilian, Tarrago, Pierre

论文摘要

我们为离散的拉普拉斯运营商的签名谐波功能进行系统的构造,该运算师在四分之一平面的情况下具有差异性条件。特别是,我们证明了谐波函数集是由单个元素产生的代数,该代数对应于独特的正谐波函数。

We propose a systematic construction of signed harmonic functions for discrete Laplacian operators with Dirichlet conditions in the quarter plane. In particular, we prove that the set of harmonic functions is an algebra generated by a single element, which conjecturally corresponds to the unique positive harmonic function.

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