Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes

Details Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes

2010-09-14

arxiv.org/abs/1009.2651v1

Computer Science

Information Theory

Advances in Computational Mathematics, accepted

Scientific paper

The fractional Laplacian $(-\triangle)^{\gamma/2}$ commutes with the primary coordination transformations in the Euclidean space $\RR^d$: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes. For $0<\gamma

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