  Using resonant Raman scattering spectroscopy with 25 different laser lines,
we describe the Raman scattering spectra of mono- and multi-layers
2H-molybdenum diselenide (MoSe$_2$) as well as the different resonances
affecting the most pronounced features. For high-energy phonons, both A- and E-
symmetry type phonons present resonances with A and B excitons of MoSe$_2$
together with a marked increase of intensity when exciting at higher energy,
close to the C exciton energy. We observe symmetry dependent exciton-phonon
coupling affecting mainly the low-energy rigid layer phonon modes. The shear
mode for multilayer displays a pronounced resonance with the C exciton while
the breathing mode has an intensity that grows with the excitation laser
energy, indicating a resonance with electronic excitations at energies higher
than that of the C exciton.
