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This paper establishes by employing analytic and probabilistic techniquesestimates concerning the {\it heat content} for the fractional Schr\"odingeroperator $\F+\ind$ with $0<\alpha\leq 2$ in $\Rd$, $d\geq 2$ and $\dom$ aLebesgue measure set satisfying some regularity conditions.

Heat content estimates for the fractional Schr\"odinger operator $\F+\ind$