= Conic support of an oscillatory amplitude
{title2=$C_a\subset X\times S^{k-1}$}
A closed conic enlargement of an <oscillatory integral amplitude> support is obtained by taking the closure of its frequency-direction projection in $X\times S^{k-1}$ and lifting that set radially to nonzero frequencies. It records limiting spatial locations and frequency directions, including limits reached only at arbitrarily large frequency. Ordinary support in $X\times\mathbb R^k$ need not record those limits. This distinction is necessary in <singular support> bounds for an <oscillatory integral>.
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