We present the observations of three ''giant'' outbursts from the X-ra
y pulsar A0535+26 in April 1989, November 1993, and February 1994 by t
he HEXE instrument on board the Mir-Kvant Observatory. We measured the
pulsation periods, constructed the pulse profiles in various energy b
ands, and studied their variability with time. The power spectrum of t
he fractional rms in the range 2 x 10(-3) to 1 Hz is given; its shape
is typical of flicker noise, which is commonly observed in black-hole
candidates and in some pulsars. The fractional rms slightly increases
with increasing energy from similar to 20% at 20 keV to similar to 30%
at 80 keV. We constructed the photon spectra in the range 15 to 200 k
eV and studied their variability with pulse phase. The shape of each o
f these spectra can be approximately described by a ''canonical'' cont
inuum model for X-ray pulsars with a photon index gamma similar to 1.1
, a break at E(c)similar to 23 keV, and E(f)similar to 19 keV; the fit
ting parameters depend only slightly on the luminosity. The greatest d
eviation from the above continuum is observed for the main pulse at en
ergy similar to 100 keV. A cyclotron absorption line is assumed to be
responsible for this deviation. The HEXE data are compared with the CG
RO data. The properties of the pulsar A0535+26 at luminosity similar t
o 10(38) erg s(-1) are shown to differ qualitatively from its properti
es at luminosity similar to 5 x 10(36) erg s(-1). At the same time, th
e data are consistent with the assumption that the structure of the po
lar cap at L similar to 10(38) erg s(-1) changes qualitatively, and th
at accretion columns extended along the magnetic-field lines are forme
d at the poles.