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We review and elaborate on recent work of Chang and Rabinowitz on scalingasymptotics of Poisson and Szeg\"{o} kernels on Grauert tubes, providingadditional results that may be useful in applications. In particular, focusingon the near-diagonal case, we give an explicit description of the leading orderterms, and an estimate on the growth of the degree of certain polynomialsdescribing the rescaled asymptotics. Furthermore, we allow rescaled asymptoticsin a range $O\left(\lambda^{\epsilon-1/2}\right)$ in all the variablesinvolved, where $\lambda\rightarrow+\infty$ is the asymptotic parameter, ratherthan rescale according to Heisenberg type.

Poisson and Szeg\"{o} kernel scaling asymptotics on Grauert tube boundaries (after Zelditch, Chang and Rabinowitz)