The number of FT spectrometers mounted behind optical telescopes has d
ecreased with the development of modern cold-grating infrared spectrom
eters, the instruments of choice for the study of faint astronomical o
bjects. However, Fourier-transform spectroscopy remains unrivalled for
high resolution work in the infrared. The instrument in operation beh
ind the Canada-France-Hawaii telescope is presented. The sources commo
nly under study, strong infrared sources, are those objects of the sol
ar system with an atmosphere (planets and satellites) and various type
s of stars. Of particular interest are the late-type stars surrounded
by cold circumstellar envelopes or very young objects embedded in thei
r parent molecular clouds. The latter sources are used to probe the in
terior of giant molecular complexes. The astronomical sources offer co
nditions difficult to obtain in the laboratory. The most significant r
esults obtained with an FT spectrometer in the last few years include
the detection of the molecular ion H-3(+) on Jupiter and the radical C
-5 in the carbon-rich envelope of the evolved star IRC + 10216. Result
s will be also mentioned from the millimetric range, a new window of e
xploration from the ground, where FT spectrometers are starting to be
used, to benefit from their broad spectral coverage. New applications
have also been tested. For example, with the development of 2-D infrar
ed arrays, spectro-imaging becomes possible and an imaging FT spectrom
eter is in operation behind the Canada-France-Hawaii telescope. In ano
ther field, an FT spectrometer is used as seismometer to detect the ac
oustic oscillation spectrum of giant planets. The next challenge for F
ourier-transform spectroscopy is the era of new technology telescopes.
The possibilities of an FT spectrometer behind an 8-m class telescope
will serve as a conclusion.