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- Title
A Spectral Calculus for Lorentz Invariant Measures on Minkowski Space.
- Authors
Mashford, John
- Abstract
This paper presents a spectral calculus for computing the spectra of causal Lorentz invariant Borel complex measures on Minkowski space, thereby enabling one to compute their densities with respect to Lebesque measure. The spectra of certain elementary convolutions involving Feynman propagators of scalar particles are computed. It is proved that the convolution of arbitrary causal Lorentz invariant Borel complex measures exists and the product of such measures exists in a wide class of cases. Techniques for their computation in terms of their spectral representation are presented.
- Subjects
MINKOWSKI space; INVARIANT measures; LEBESGUE measure; MATHEMATICAL convolutions
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 10, p1696
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12101696