We investigate the detectability of starburst signatures in the nuclear spe
ctrum of Seyfert 2 galaxies by constructing spectral models in the waveleng
th range lambda lambda 3500-4100, combining the spectrum of a bulge populat
ion (of age approximate to 10 Gyr) with that of younger stellar populations
, spanning ages from approximate to3 Myr to 1 Gyr. The major constraints in
the analysis are (1) the continuum ratio lambda lambda 3660/4020, which ef
ficiently discriminates between models combining a bulge spectrum with a st
ellar population younger than approximate to 50 Myr and those with older st
ellar populations; (2) the presence of the Balmer lines H8, H9, and H10 in
absorption, which are unambiguous signatures of stellar populations with ag
es in the range 10 Myr-1 Gyr for the relevant metallicities. Their detectab
ility depends both on the age of the young component and on its contributio
n to the total flux relative to that of the bulge. We also construct models
combining the bulge template with a power-law (PL) continuum, which is obs
erved in some Seyfert 2 galaxies in polarized light, contributing with typi
cally 10%-40% of the flux at 4020 Angstrom. We conclude that such continuum
cannot be distinguished from that of a very young stellar population (age
less than or equal to 10 Myr), contributing with less than approximate to0.
02% of the mass of the bulge. The models are compared with nuclear spectra-
corresponding to a radius of 200-300 pc at the galaxy-of 20 Seyfert 2 galax
ies, in which we specifically look for the signatures above of young- to in
termediate-aged stellar populations. We find them in 10 galaxies, thus 50%
of the sample. But only in six cases (30% of the sample) can they be attrib
uted to young stars (age < 500 Myr): Mrk 1210, ESO 362-G8, NGC 5135, NGC 56
43, NGC 7130, and NGC 7582. In the remaining four cases, the signatures are
caused by intermediate-aged stars (<approximate to>1 Gyr). We find a tende
ncy for the young stars to be found more frequently among the late-type Sey
fert galaxies, a well-known effect in the nuclei of normal galaxies. This t
endency is supported by a comparison between the equivalent widths (W) of a
bsorption lines of the nuclear spectra of the Seyfert 2 galaxies with those
of normal galaxies of the same Hubble type. For the late-type galaxies, th
e W values of the Seyfert galaxies are within the observed range of the nor
mal galaxies, suggesting a similar stellar population. On the other hand, t
he W values are lower than those of the normal galaxies for seven out of th
e 11 Seyferts in early-type galaxies.