We calculate the linear response admittance of a double quantum dot in
an external time-dependent field. We show how the Kondo resonance pea
ks evolve with the interdot tunneling amplitude. In the Kondo regime,
the real part of the admittance jumps in the vicinity of frequency Ome
ga equal to the applied de voltage eV. The imaginary part is linear in
the frequency for Omega<eV. Both features directly reflect the Kondo
peaks in the double dot spectral function.