  The electronic states near a surface or a domain wall in the p_x \pm i p_y
-wave superconductor are studied. This state has been recently suggested as the
superconducting state of Sr_2 Ru O_4. The p_x \pm i p_y-wave paring state
breaks the time reversal symmetry and induces a magnetic field. The obtained
temperature dependence of the magnetic field is consistent with the observed
\mu SR data.
