  This paper investigates the estimation of the interaction function for a
class of McKean-Vlasov stochastic differential equations. The estimation is
based on observations of the associated particle system at time $T$,
considering the scenario where both the time horizon $T$ and the number of
particles $N$ tend to infinity. Our proposed method recovers polynomial rates
of convergence for the resulting estimator. This is achieved under the
assumption of exponentially decaying tails for the interaction function.
Additionally, we conduct a thorough analysis of the transform of the associated
invariant density as a complex function, providing essential insights for our
main results.
