Bessel potential

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In mathematics, the Bessel potential is a potential (named after Friedrich Wilhelm Bessel) similar to the Riesz potential but with better decay properties at infinity.

If s is a complex number with positive real part then the Bessel potential of order s is the operator

(I-\Delta)^{-s/2}

where Δ is the Laplace operator and the fractional power is defined using Fourier transforms.

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