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In the setting of the massive Klein-Gordon equation on de Sitter space, wediscuss Vasy's asymptotic data at conformal infinity in terms of plane waves.In particular, we derive a short-hand formula for reconstructing solutions fromtheir asymptotic data. Furthermore, we show that the natural Hadamard stateinduced from future (or past) conformal infinity coincides with theBunch-Davies state.

Conformal extension of the Bunch-Davies state across the de Sitter boundary