A Thom spectrum model for a C_2-equivariant analogue of integral Brown--Gitler spectra is established and shown to have a multiplicative property. The C_2-equivariant spectra constructed enjoy properties analogous to classical nonequivariant integral Brown--Gitler spectra and thus may prove useful for producing C_2-equivariant analogues of splittings of $BP \langle 1 \rangle... Show more