On traces of Fourier integral operators on submanifolds
Sipailo, P.
الأصل · EN
Given a smooth embedding i X M of manifolds and a Fourier integral operator Φ= Φ(Λ) on M associated with a Lagrangian submanifold Λ⊂ T*(X× X) {0}, we consider its trace i!(Λ) on the submanifold X, i.e. the composition i* Φi*, where i* and i* are the boundary and coboundary operators, respectively. We establish the conditions under which the trace i!(Φ) is also a Fourier integral operator and calculate its amplitude in canonical local coordinates.
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