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Jul 30, 2012 at 16:22 vote accept CommunityBot
Jul 30, 2012 at 16:22 history bounty ended Alex Gavrilov
Jul 28, 2012 at 9:22 comment added Alex Gavrilov Certainly I should have mentioned that I am familiar with the both those papers. I am sorry that I have not. The (very interesting) 1961 work of Helgason is not a generalization of his 1958 work, though the latter can be deduced from the former. (At least, it is my opinion). The problem is, to make sense from this formula, you have to introduce some very special vector fields and to compute their Lie brackets. I have no idea how this can be done practically in the reductive space case. Unlike this, the right hand side of the above equality is calculated instantly.
Jul 26, 2012 at 13:23 history answered DamienC CC BY-SA 3.0