A pseudospectral method computes the one-dimensional fractional Laplacian on R without domain truncation by deriving explicit series formulas for the operator applied to Fourier modes after mapping R to [0,π].
Hilbert, Grundz¨ uge einer allgemeinen Theorie der linearen Integral- gleichungen, Fortschritte der Mathematischen Wissenschaften in Mono- graphien, Druck und Verlag von B
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A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$
A pseudospectral method computes the one-dimensional fractional Laplacian on R without domain truncation by deriving explicit series formulas for the operator applied to Fourier modes after mapping R to [0,π].