The xenon tube requires a voltage of about 220-330V (300v being the normal voltage) storedin a capacitor. To ionize the gas inside the tube usually takes a fewkV, 4-6kV. Although, those peizo ignition things from lighters can produce enough voltage to trigger the tube.
So, at the very least you will need a way to charge the capacitor to a reasonably high voltage. This is usually done with a flyback converter, assingle inductorboost circuits aren't up for stepping up voltage more than a factor of 8 or 9. So if you're running it from a battery you'll need to step the battery voltage up to 300V. Plenty of informaiton on google.
Blueteeth