Displaying similar documents to “Estimates of one-dimensional oscillatory integrals”

Oscillatory and Fourier integral operators with degenerate canonical relations.

Allan Greenleaf, Andreas Seeger (2002)

Publicacions Matemàtiques

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We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focuses on topics related to the work of the authors. [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

What is van der Corput's lemma in higher dimensions?

Anthony Carbery, James Wright (2002)

Publicacions Matemàtiques

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We consider variants of van der Corput's lemma in higher dimensions. [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

Diffeomorphisms of R with oscillatory jacobians.

Waldyr M. Oliva, Nelson M. Kuhl, Luiz T. Magalhâes (1993)

Publicacions Matemàtiques

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The paper presents, mainly, two results: a new proof of the spectral properties of oscillatory matrices and a transversality theorem for diffeomorphisms of R with oscillatory jacobian at every point and such that N(f(x) - f(y)) ≤ N(x - y) for all elements x,y ∈ R, where N(x) - 1 denotes the maximum number of sign changes in the components z of z ∈ R, where all z are non zero and z varies in a small neighborhood of x. An application to a semiimplicit discretization of the scalar heat...