Hello Fabien.
The circuit is basically a blocking oscillator based on the positive feedback between L1 and L3, without the regulation the output voltage would rise until circuit losses or more likely component breakdown limited it.
A proportion of the output is applied to the comparator A1 non inverting input, the inverting input of which has a stable voltage provided by the regulator diode Ref. When the non inverting input exceeds the inverting, the output switches high, turning on Q2 shunting away the input to the switching transistor.
Q2 is also used to provide current limit as it also senses the voltage across the switching transistor emitter resistor, R4.
As for some of the specific component values, that would be a hard task as we would need a lot more information about the original circuit.
If you have one to repair then can the original not be reverse engineered?
If, it is a repair, then the most likely faiures are the capacitors, switching transistor, or transformer.
Hope that helps.
X