Lie Groups of Fourier Integral Operators on Open Manifolds

Details Lie Groups of Fourier Integral Operators on Open Manifolds Lie Groups of Fourier Integral Operators on Open Manifolds

1999-01-29

arxiv.org/abs/math/9901136v1

Mathematics

Differential Geometry

Scientific paper

We endow the group of invertible Fourier integral operators on an
open}manifold with the structure of an ILH Lie group. This is done by
establishing such structures for the groups of invertible pseudodifferential
operators and contact transformations on an open manifold of bounded geometry,
and gluing those together via a local section.

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