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On the Positivity of Propagator Differences

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Abstract

We discuss positivity properties of certain‘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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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305-2125, USA

    András Vasy

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  1. András Vasy
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Correspondence to András Vasy.

Additional information

Communicated by Jan Derezinski.

The author gratefully acknowledges partial support from the NSF under Grant Numbers DMS-1068742 and DMS-1361432.

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Vasy, A. On the Positivity of Propagator Differences. Ann. Henri Poincaré 18, 983–1007 (2017). https://doi.org/10.1007/s00023-016-0527-0

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  • DOI: https://doi.org/10.1007/s00023-016-0527-0

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