The Dock Problem

Cover The Dock Problem
The Dock Problem
Kurt Otto Friedrichs
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In order to verify that the boundary condition ^ is satisfied we observe that the integrand in Is regular at ^ = -1. Hence we can deform the path u into the negative real ^-axis, C = ^ 0, y = 0, Since ( ^ + 1) V(C) is positive real for ^ = ^ 0, y = 0, The same statement follows similarly for 7^ (z). The boimdary condition I is therefore satisfied.
To derive the behavior of X^ and X^ at infinity we make use of the pole of V (C) at ^ = -1. Suppose the i© point z = re lies in any sector excludin
...g the positive real axis, -tt

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