It is likely the amplifier is powered with a switch mode power supply. So step one is it turns the supply to DC, then it turns it back to AC, the DC supply is smoothed with a capacitor, but still has troughs and peaks, the trough has to be high enough, the height of the trough will depend on supply voltage and frequency, so you will both be low on voltage 110 instead of 120 volt, and also lower frequency, only way to know if it will work is try it, and by then too late.
I have a USA UPS that I have used to supply USA equipment, I used a UK battery charger to keep battery charged, and I do get 120 volt 60 Hz, however not really cost effective to do that, it was some thing given to me, so for me cost was zero, a 1600 watt inverter from 12, 24, 48 or 60 volt with 120 volt output 60 Hz will cost around £54 but step one is to find out how much power the amplifier needs, as you go up in size so the cost raises, but not linear, so double that output, and looking at 3 times the price, you would need to find the price of the inverter, and base you decision on worse case scenario and needing an inverter, if still worth while you could buy and try with transformer first, but be prepared to pay for an inverter.
My last job some one thought they could buy USA lighting sets much cheaper, they had a 120 volt outlet, the generator was 120 - 0 - 120 volt 240 to lights, but also an array of 120 volt outputs, however the 120 volt outlets had to be all blanked off, as we need 55 - 0 - 55 or 64 - 0 - 64 if three phase, and the cost of 240 volt to 55 - 0 - 55 volt transformers resulted in no gain, in fact a lose price wise. Since a generator the speed could be dropped to get 50 Hz, but in general better to get equipment designed for the UK to start with.