An Example of the Generalized Fractional Laplacian on Rn

Chenkuan Li · Contemporary Mathematics · 2020

Using the normalization of the fractional Laplacian (-△)su(x) over the space Ck(Rn ) for all s > 0 and s ≠ 1, 2, ···, we evaluate (-△)se-||x||2 based on the multidimensional surface integrals over the unit sphere and special functions.

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