In the 1970s the typical studio lighting was flash with umbrellas and —the latest craze at that moment : Peter Gowland's version of the umbrella, the "Reflectasol" system (I know first hand: I sold tons of them at Denevi's, the pro camera shop at which I worked).

However, to re-create the look in the sample photo you've attached, try using *bare photofloods —or *bare flash-heads— in their reflectors (*"bare" = no softbox or umbrellas).