Bessel potential

From Wikipedia, the free encyclopedia
Jump to: navigation, search

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


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

See also[edit]