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Construction of Hadamard states by characteristic Cauchy problem

Construction of Hadamard states by characteristic Cauchy problem

We construct Hadamard states for Klein-Gordon fields in a spacetime M 0 equal to the interior of the future lightcone C from a base point p in a globally hyperbolic spacetime (M, g).Under some regularity conditions at future infinity of C, we identify a boundary symplectic space of functions on …