A mapped-Chebyshev spectral-Galerkin solver diagonalizes the integral fractional Laplacian on R^d, giving explicit coefficients and near-optimal FFT-based cost.
Agranovich, Sobolev spaces, their generalizations and elliptic problems in smooth and Lipschitz domains, Springer, 2015
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Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
A mapped-Chebyshev spectral-Galerkin solver diagonalizes the integral fractional Laplacian on R^d, giving explicit coefficients and near-optimal FFT-based cost.