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Scalar, vector and tensor fields on $dS_3$ with arbitrary sources: harmonic analysis and antipodal maps
The scalar, vector and tensor spherical harmonics on three-dimensional de Sitter spacetime are defined and analyzed. Each harmonic defines two sets of asymptotic data on the two-sphere in the asymptotic expansion close to both the past and the future of de Sitter spacetime. For each case, we make ex
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