We report on the analysis of 154 hours of early continuous high-speed
photometry on the pulsating DB white dwarf (DBV) GD 358, obtained duri
ng the Whole Earth Telescope (WET) run of 1990 May. The power spectrum
of the light curve is dominated by power in the range from 1000 to 24
00 muHz, with more than 180 significant peaks in the total spectrum. W
e identify all of the triplet frequencies as degree l = 1, and from th
e details of their spacings we derive the total stellar mass as 0.61 /- 0.03 M., the mass of the outer helium envelope as 2.0 +/- 1.0 x 10(
-6) M, the absolute luminosity as 0.050 +/- 0.012 L. and the distance
as 42 +/- 3 pc. We find strong evidence for differential rotation in
the radial direction-the outer envelope is rotating at least 1.8 times
faster than the core-and we detect the presence of a weak magnetic fi
eld with a strength of 1300 +/- 300 G. We also find a significant powe
r at the sums and differences of the dominant frequencies, indicating
nonlinear processes are significant, but they have a richness and comp
lexity that rules out resonant mode coupling as a major cause.