  Superconductivity is commonly destroyed by a magnetic field due to orbital or
Zeeman-induced pair breaking. Surprisingly, the spin-valley locking in a
two-dimensional superconductor with spin-orbit interaction makes the
superconducting state resilient to large magnetic fields. We investigate the
spectral properties of such an Ising superconductor in a magnetic field taking
into account disorder. The interplay of the in-plane magnetic field and the
Ising spin-orbit coupling leads to noncollinear effective fields. We find that
the emerging singlet and triplet pairing correlations manifest themselves in
the occurrence of "mirage" gaps: at (high) energies of the order of the
spin-orbit coupling strength, a gap-like structure in the spectrum emerges that
mirrors the main superconducting gap. We show that these mirage gaps are
signatures of the equal-spin triplet finite-energy pairing correlations and due
to their odd parity are sensitive to intervalley scattering.
