bibkey: bar2015greenhyperbolic authors: Christian Bar year: 2015 title: Green-hyperbolic operators on globally hyperbolic spacetimes doi: 10.1007/s00220-014-2097-7 url: https://arxiv.org/abs/1310.0738 claim: Green-hyperbolic operators on globally hyperbolic spacetimes have advanced and retarded Green operators with specified causal support properties. strata_touched: [] license: citation-only triage: anchor

Green-hyperbolic operators

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Christian Bär, Communications in Mathematical Physics 333 (2015), 1585-1615; arXiv:1310.0738v2. The primary record specifies Green-hyperbolic operators on vector bundles and their advanced and retarded Green operators.

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Background for causal elimination of hidden fields. A finite matrix Schur identity does not provide the function spaces, initial data, support conditions or existence of continuum Green operators. The RT field-theory discussion explicitly supplies such hypotheses and distinguishes a retarded kernel from an Euclidean determinant.