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

2003/07/15 by Peter Heinzner, Patrick Schuetzdeller · 1 citation
Mathematics · #math.CV #msc:32A07 #msc:32D05 #msc:32M05

paper · pdf

published as Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (5), Vol. III, 1 (2004), pp. 39-52 · 12 pages

arxiv created 2003/07/15 · arxiv updated 2009/12/01

Abstract

Let C be the open upper light cone in \mathbb R¹⁺ⁿ with respect to the Lorentz product. The connected linear Lorentz group SO_\mathbb R(1,n)⁰ acts on C and therefore diagonally on the N-fold product T^N where T = \mathbb R¹⁺ⁿ + iC ⊂ \mathbb C¹⁺ⁿ. We prove that the extended future tube SO_\mathbb C(1,n) ⋅ T^N is a domain of holomorphy.

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