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The extended future tube conjecture for SO(1, 𝑛 )

Peter HeinznerPatrick Schützdeller — 2004

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let C be the open upper light cone in 1 + n with respect to the Lorentz product. The connected linear Lorentz group SO ( 1 , n ) 0 acts on C and therefore diagonally on the N -fold product T N where T = 1 + n + i C 1 + n . We prove that the extended future tube SO ( 1 , n ) · T N is a domain of holomorphy.

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