  We investigate the possibility of observing very small amplitude low
frequency solar oscillations with the proposed laser interferometer space
antenna LISA. For frequencies below $\sim 2\times 10^{-4}$ Hz the dominant
contribution is from the near zone time dependent gravitational quadrupole
moments associated with the normal modes of oscillation. For frequencies $\nu$
above $\sim 3\times 10^{-4}$ Hz the dominant contribution is from gravitational
radiation generated by the quadrupole oscillations which is larger than the
Newtonian signal by a factor $\sim (2 \pi r \nu/ c)^4$, where $r$ is the
distance to the Sun, and $c$ is the velocity of light.
  The low order solar quadrupole pressure and gravity oscillation modes have
not yet been detected above the solar background by helioseismic velocity and
intensity measurements. Our estimates of the amplitudes needed to give a
detectable signal on a LISA type space laser interferometer imply surface
velocity amplitudes on the sun of the order of 1-10 mm/sec in the frequency
range $1 - 5~10^{-4}$Hz. Such surface velocities are below the current
sensitivity limits on helioseismic measurements. If modes exist with
frequencies and amplitudes in this range they could be detected with a LISA
type laser interferometer.
