 Oscillatory integral phase (source code)

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= Oscillatory integral phase
{title2=$\beta(q)$}

= Oscillatory phase
{synonym}

In an integral $\int a(q)e^{i\lambda\beta(q)}dq$, the real-valued function $\beta$ is the phase. Its stationary points satisfy $\nabla\beta=0$; its <Hessian matrix> determines the local quadratic oscillation and the signature factor in <stationary phase method>. Degenerate stationary points and boundaries require separate analysis.

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