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The $s$-polyharmonic extension problem and higher-order fractional Laplacians
Published 22 Jun 2021 in math.AP | (2106.11669v3)
Abstract: We provide a detailed description of the relationships between the fractional Laplacian of order $2s\in(0,n)$ on $\mathbb{R}n$ and the $\textit{$s$-polyharmonic}$ extension operator to the upper half space $\mathbb{R}{n+1}_+$.
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