All the signal amplifiers (op amps) I've dealt with thus far use periodic signals. The idea of bandwidth is natural when dealing with these periodic signals because it is just a description of the range of signal frequencies.
What about when you have a non-periodic signal? Does amplification work in the same way? I'm currently dealing with signals that are very sharp peaks, with small peak widths (i.e. less than a microsecond - nanosecond). This signal is non-periodic and describes single photon detection. Would I approach amplification for this signal in the same way? If so, what is the bandwidth in such a situation? Would it just be 1/(time width of signal)?