Amplitude of an oscillatory integral (source code)

= Amplitude of an oscillatory integral
{title2=$a(x,\theta)$}

= Oscillatory integral amplitude
{synonym}

An oscillatory integral amplitude multiplies $e^{i\Phi}$ in an <oscillatory integral> with <phase function> $\Phi$. A finite <symbol class> order controls its frequency growth and the <order of a distribution> obtained by <integration by parts>.