Pseudodifferential Operators on Manifolds: A Coordinate-free Approach [chapter]

Peter McKeag, Yuri Safarov
2011 Partial Differential Equations and Spectral Theory  
The main aim of the paper is to demonstrate the advantage of a coordinate-free approach to the theory of pseudodifferential operators. We explain how one can define symbols and construct a symbolic calculus without using local coordinates, briefly review some known definitions and results, and discuss possible applications and further developments.
doi:10.1007/978-3-0348-0024-2_6 fatcat:kuottuct2bfhpa6rjfj5sikju4