Small time asymptotics of spectral heat content of isotropic processes

Rohan Sarkar

The spectral heat content of a domain $\hat{I}\text{c◯}\subset {\mathbb{R}}^d$ corresponding to a $d$-dimensional stochastic process $X=(X_t{)}_{t\ge 0}$ is defined as \[Q^{X}_Ω(t)=\int_{\mathbb{R}^…