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arXiv · 1612.06231

On traces of Fourier integral operators localized at a finite set of points

P. A. Sipailo
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Abstract

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

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P. A. Sipailo. 2016-12-19. On traces of Fourier integral operators localized at a finite set of points. https://arxiv.org/abs/1612.06231

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