On the positivity of propagator differences
Vasy, András
Analysis of PDEs
Differential Geometry
Spectral Theory
Primary 58J40, Secondary 58J50, 35P25, 35L05, 58J47
Original · EN
We discuss positivity properties of `distinguished propagators', i.e. distinguished inverses of operators that frequently occur in scattering theory and wave propagation. We relate this to the work of Duistermaat and Hörmander on distinguished parametrices (approximate inverses), which has played a major role in quantum field theory on curved spacetimes recently.
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