The motion of a single hole in a two-dimensional triangular antiferromagnet
is investigated using the t-J model. The one-hole states are described by
strings of spin deviations around the hole. Using projection technique the
one-hole spectral function is calculated. For large J/t we find low-lying q
uasiparticlelike bands which are well separated from an incoherent backgrou
nd by a gap of order J. However, for small J/t this gap vanishes and the sp
ectrum becomes broad over an energy range of several t. The results are com
pared with self-consistent Born approximation calculations and numerical da
ta. [S0163-1829(99)07409-3].