Manuscript En02-E@2 · En02-E-v2.tex · section · c2769986

Radial boundary-error estimate

Radial boundary-error estimate · lines 1412–1424

For real $V \in L^{1} (R)$ , the right Jost solution satisfies

f_{V} (x, ω) = e^{i ω x} + \int_{x}^{\infty} \frac{sin ( ω ( y - x ))}{ω} V (y) f_{V} (y, ω) d y .

For another real potential $W$ , put $v = ∥ V ∥_{L^{1}}$ , $w = ∥ W ∥_{L^{1}}$ , $d = ∥ V - W ∥_{L^{1}}$ .

Displayed formulas in this passage

unlabeled · line 1416
$f_{V} (x, ω) = e^{i ω x} + \int_{x}^{\infty} \frac{sin ( ω ( y - x ))}{ω} V (y) f_{V} (y, ω) d y .$