  In this paper, we are concerned with the limiting absorption principle for
the fractional Helmholtz equation, By establishing the boundedness estimate for
the resolvent of fractional Helmholtz operator, we obtain the nontrivial Lq(Rn)
complex valued solutions for (0.1). By setting up a dual variational framework,
we also obtain the real valued solutions for (0.1) via a non-vanishing
principle.

Analysis of PDEs;Functional Analysis