Er, 'inflation-adjusted' and 'nominal' are opposites, so that answer leaves me confused.
Looking at one of the prominent early data points, AAPL:
Some online sources peg its IPO valuation at about $1.3B at the time (ie, nominal 1980 dollars), rising to about $1.7B in the first day pop. According to WolframAlpha, [$1.3 billion 1980 dollars in 2011 dollars] is about $3.5B adjusted by the CPI - close to the NYTimes $3.4B chart number.
From that I conclude that the numbers have been adjusted to "2011 (real) dollars".