The Bessel potential is defined by $(I-\Delta)^{-\alpha/2}$ and it has an integral kernel $K$ such that $(I-\Delta)^{-\alpha/2}f = K*f$. Is there a way to generalize this to something like $$ (g-\Delta)^{-\alpha/2}f = \tilde{K}* f$$ where $g$ is some given function? And if so, what are the conditions on $g$?
2026-04-12 22:55:29.1776034529
Integral form of a "generalized" Bessel potential
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