On oscillatory integral operators with folding canonical relations

Allan Greenleaf; Andreas Seeger

ArticleOriginal scientific text

Title

On oscillatory integral operators with folding canonical relations

Authors ¹, ²

Affiliations

Department of Mathematics, University of Rochester, Rochester, New York 14627, U.S.A.
Department of Mathematics, University of Wisconsin Madison, Wisconsin 53706, U.S.A.

Abstract

Sharp

L^{p}

estimates are proven for oscillatory integrals with phase functions Φ(x,y), (x,y) ∈ X × Y, under the assumption that the canonical relation

C_{Φ}

projects to T*X and T*Y with fold singularities.

Keywords

ENG

oscillatory integrals, Fourier integral operators, fold singularities

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Title

On oscillatory integral operators with folding canonical relations

Affiliations

Abstract

Keywords

Bibliography