We study coherence properties of high harmonics in three different situatio
ns. First, we measure spectral profiles for 19(th) and 21(th) harmonics in
argon and neon as a function of the focusing, and give reasonable evidence
of a harmonic chirp. Second, we produce two phase-locked harmonic sources,
separated in time, and we perform for the first time frequency-domain inter
ferometry in the XUV range. With this technique, we demonstrate the feasibi
lity of time-resolved plasma diagnostics in a fully ionized gas. Third, we
use Fresnel's mirrors interferometer to measure the spatial coherence degre
e of 13(th) harmonic. In the best conditions, we find high coherence (gamma
> 0.5) in almost the full beam section. The studies emphasize the role of
the intensity-dependent phase of the nonlinear polarization in the coherenc
e properties of harmonics.