On the one dimensional spectral Heat content for stable processes

This paper provides the second term in the small time asymptotic expansion of the spectral heat content of a rotationally invariant α  -stable process, 0<α≤20<α≤2, for the bounded interval (a,b)(a,b). The small time behavior of the spectral heat content turns out to be linked to the distribution of the supremum and infimum processes.