On Positivity Preserving, Translation Invariant, Operators in $L^p(\mathbb{R}^n)^m$

arxiv: 1712.05104 · v1 · pith:BY73NLJRnew · submitted 2017-12-14 · 🧮 math.FA

On Positivity Preserving, Translation Invariant, Operators in L^p(mathbb{R}^n)^m

Fritz Gesztesy , Michael M.H. Pang This is my paper

classification 🧮 math.FA

keywords mathbbinvariantoperatorspositivitypreservingtranslationcharacterizeinfty

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We characterize positivity preserving, translation invariant, linear operators in $L^p(\mathbb{R}^n)^m$, $p \in [1,\infty)$, $m,n \in \mathbb{N}$.

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