Local time for stable moving average processes: Hölder conditions

The Fourier analytic approach due to S.M. Berman is considered for a certain class of [alpha]-stable moving average processes, 1 < [alpha] <= 2. It is proved that the local times of such processes satisfy a uniform Hölder condition of order Q1 - 1/[alpha] logQ1/[alpha] for small intervals Q. A decomposition of a stable moving average process into a part with jointly continuous local time and a part with smooth sample paths is given and the direct method of evaluation of Berman's integral is compared to the LND method.