Damping oscillatory integrals with polynomial phase.

David McMichael

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Oscillatory integrals with polynomial phase.

Daniel M. Oberlin (1991)

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Boundedness criterion for multilinear oscillatory integrals with rough kernels

Wengu Chen, Shanzhen Lu (2004)

Studia Mathematica

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We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.

Oscillatory integrals with polynomial phases.

E.M. Stein, D.H. Phong (1992)

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An estimation for a family of oscillatory integrals

Magali Folch-Gabayet, James Wright (2003)

Studia Mathematica

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Let K be a Calderón-Zygmund kernel and P a real polynomial defined on ℝⁿ with P(0) = 0. We prove that convolution with Kexp(i/P) is continuous on L²(ℝⁿ) with bounds depending only on K, n and the degree of P, but not on the coefficients of P.