Oscillatory integral operator
= Oscillatory integral operator
{wiki=Oscillatory_integral_operator}
An oscillatory integral operator is a mathematical object that arises in the analysis of oscillatory integrals, which are integrals of the form: \\\[ I(f)(x) = \\int_\{\\mathbb\{R\}^n\} e^\{i\\phi(x, y)\} f(y) \\, dy \\\] where: - \\(I\\) is the operator being defined, - \\(f\\) is a function (often a compactly supported or suitable function), - \\(x\\