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Wan Tang

Decay rates of oscillatory integral operators in “1 + 2” dimensions

Consider the oscillatory integral operator , where is real valued, and λ is a large real number. We prove that, if S(x, y) is a homogeneous polynomial of degree n≥3 satisfying a non-degeneracy assumption, then , and the decay rate is sharp (up to a power of log λ when n = 3).

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 18, 05/2006
Pages: 427 - 444

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