 Finite order of an oscillatory integral distribution (source code)

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= Finite order of an oscillatory integral distribution
{title2=$\operatorname{ord}I_\Phi(a)\leq r,\ r>N+k$}

An <oscillatory integral> with a degree-one homogeneous <phase function>, $k$ frequency variables, and <oscillatory integral amplitude> in fixed <symbol class> order $N$ has <order of a distribution> at most any nonnegative integer $r>N+k$. The integer works on every <compact set>; the continuity constant can vary with the <compact set>.

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