"Convert" the +-15 Volts to 0-30Volts by putting your adc measurement circuit ground at -15 instead of 0v. Simple right?
Power the ADC from +15 and -15, this indeed requires some ldo or smps depending on the load. Add an amplifier with gain of 1/5, assuming the ADC is 5V. And you're almost done.
You'll still need anti-aliasing filtering and such necessities with adc's.
Expensive solution would be to get an bipolar ADC with such high voltage inputs. They exist.
Also, nowadays you can get pretty good adc's for a single power rail (eg. mcp600x). I would avoid dual rail unless it is absolutely necessary, and even then I'd create a virtual ground at Vcc/2 using an opamp.