Necessary and sufficient conditions are given for the unique continuation property of translation-invariant Lévy operators, connected to the resolvent, with applications to the fractional Laplacian.
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On the Unique Continuation Principle for a Class of Translation Invariant Nonlocal Operators
Necessary and sufficient conditions are given for the unique continuation property of translation-invariant Lévy operators, connected to the resolvent, with applications to the fractional Laplacian.