Volterra analyticity sectors for a half-line NLS Lax pair
= Volterra analyticity sectors for a half-line NLS Lax pair
{c}
For the normalization points $(0,T)$, $(0,0)$ and spatial infinity, the <Volterra integral equation> kernel is $e^{-i[k(x-x')+2k^2(t-t')]\widehat\sigma_3}$. Its lower entry in column one has factor $e^{2i[k(x-x')+2k^2(t-t')]}$; column two has the opposite factor. With quadrants numbered counterclockwise, the column domains are $(D_2,D_3)$, $(D_1,D_4)$ and $(\mathbb C_-,\mathbb C_+)$, respectively.