A small repair

I’m very proficient in both electrical standards and math but not so much in electrical engineering. Could someone help me figure a few things out with this device? It’s a small transformer board taking in 110VAC and supplying somewhere in the neighborhood of 58VDC (I think). Three resistors were burned and have already been removed, all three were 12 ohm 1/2 watt carbon 5%. I’d just like to make sure I know exactly what this board is doing. I’ve figured out that the first 4 resistors on the left are rectifiers and they are then each passing though a capacitor. If my understanding is correct the rectifiers are only allowing the current to flow one way and the caps are filling in in between the phases. After that I’m a bit lost. Attached are pics above and below, and remember 3 resistors are not pictured.

It's a switch-mode PSU - so not really a simple device to understand.

Yes the caps are there to sieving from interferences and smoothing the voltage. If you are sure of the resistor value, I would replace them and try my luck but before I would check all diodes (with ohmmeter), some of them might have a short and let the V/A flow on both directions.

Rectifiers? Diodes then, no resistors.