Sufficient conditions on discrete sets make them uniqueness or non-uniqueness pairs for the fractional Laplacian, with some ideas extending to other multiplier operators.
Silvestre,Regularity of the obstacle problem for a fractional power of the Laplace operator, Communications on Pure and Applied Mathematics60(2007), 67–112.doiὑ7
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Uniqueness and non-uniqueness pairs for the fractional Laplacian
Sufficient conditions on discrete sets make them uniqueness or non-uniqueness pairs for the fractional Laplacian, with some ideas extending to other multiplier operators.