Asymptotic expansions are derived for a solid Cauchy transform of a rapidly oscillating phase when a stationary point approaches the Cauchy singularity within O(sqrt(h)), using polarization in C^2 and Stokes' theorem.
Propagation of analytic singularities for second order Dirichlet problems. II
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Stationary phase with Cauchy singularity. A critical point of signature $(+,-)$
Asymptotic expansions are derived for a solid Cauchy transform of a rapidly oscillating phase when a stationary point approaches the Cauchy singularity within O(sqrt(h)), using polarization in C^2 and Stokes' theorem.