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On the one dimensional spectral Heat content for stable processes
(2016-09)
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 ≤ 2, for the
bounded interval (a, b). The small time behavior ...
Heat content estimates over sets of finite perimeter
(2016-09)
This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the set covariance function and by imposing ...