Updates

Change Log

Fast-track revision published on 25 June 2010

Global description:

The two major changes are the addition of Appendix D, and that we have rewritten about a quarter of Section 7. The extra appendix was just to add new information while the changes in Section 7 were due to real errors on our part. In addition there were many very small changes, words changed here and there; a few small paragraphs were added as well. These word changes were needed to correct the errors (mainly language) in Section 7. Several misprints were also corrected and a new reference to Adamo and Newman (2010) was added.

Changes in detail:

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	Corrected right-hand side from the original $ξa0(τ) = τδ$ .
	Corrected right-hand side from the original $0 ∘ --------- 1 i2 v R(τ) = 1 + (viR)2 ≈ 1 + 2v + ...$ .
	Corrected right-hand side exponent from the original $Diℐℂ = qξa(s)$ .
	Removed asterisks from right-hand side.
	Corrected right-hand side by adding $4i$ .
	Changed original $u(BR)$ to $uB$ .
	Replaced the two original $∗ r$ by $r$ .
	Renamed subsection by adding ‘Asymptotically’.
	Corrected first term from $T (u,ζ, ¯ζ)$ to $T(uret,ζ, ¯ζ)$ .
	Removed asterisks from right-hand side.
	Corrected $𝒫i$ to $Ξi$ .
	Corrected $𝒫i$ to $Ξi$ .
	About a quarter of Section 7 has been rewitten due to errors on our part.
	Changed this item from: “As we mentioned earlier, the complex analytic curves appear most naturally in $ℋ$ -space. Nevertheless, we could not find any reasonable physical $ℋ$ -space interpretation for them and had to rely on the Minkowski space interpretation.”
	Added this last item.
	Added Appendix on the derivation of the $ℋ$ -space metric.