We report on the lattice computation of the Landau gauge gluon propagator at
finite temperature, including the non-zero Matsubara frequencies. Moreover, the
corresponding K\"all\'en-Lehmann spectral density is computed, using a Tikhonov
regularisation together with the Morozov discrepancy principle. Implications
for gluon confinement are also discussed.Comment: 5 pages, 5 figures, Lattice 2017 proceeding