Profile decompositions of fractional Schrödinger equations with angularly regular data

We study the fractional Schrödinger equations in R1+dR1+d, d⩾3d⩾3, of order d/(d−1)<α<2d/(d−1)<α<2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.