kawgomoo,
The only reason you would have to have an inverter to run that stuff would be to a) change the current to DC (they may use DC motors on the compressor) or b) adjust frequency for the equipment (this allows AC motors to run at different speeds if so equipped). Any welder sold locally should be set up for whatever the correct voltage and freqency that is commonly available for the local standards, so no, an inverter or transformer should not be necessary to accomplish installation.
G. L.