  We show that dilute magnetic impurities in a conventional superconductor give
origin to an odd-frequency component of superconductivity, manifesting itself
in Yu-Shiba-Rusinov bands forming within the bulk superconducting gap. Our
results are obtained in a general model solved within the dynamical mean field
theory. By exploiting a disorder analysis and the limit to a single impurity,
we are able to provide general expressions that can be used to extract
explicitly the odd-frequency superconducting function from scanning tunneling
measurements.
