On traces of Fourier integral operators localized at a finite set of points
Given a smooth embedding of manifolds $i: X \hookrightarrow M$ and a Fourier integral operator $Φ$ acting on $M$, obtained by quantization of a canonical transformation, consider its trace $i^!(Φ)$ on $X$ (in the sense of relative theory). We discuss the situation when $i^!(Φ)$ has the form of a Fourier--Mellin operator and, in particular, is localized at a finite set of points.
math.AP↗