  Introduced by Coifman, Meyer, and Stein, the tent spaces have seen wide
applications in Harmonic Analysis. Their analytic cousins have seen some
applications involving the derivatives of Hardy space functions. Moreover, the
tent spaces have been a recent focus of research. We introduce the concept of
interpolating and sampling sequences for analytic tent spaces analogously to
the same concepts for Bergman spaces. We then characterize such sequences in
terms of Seip's upper and lower uniform density. We accomplish this by
exploiting a kind of M\"obius invariance for the tent spaces.
