Existence of Solutions of N/D EquationsAtkinson, D., 1966, In : Journal of Mathematical Physics. 7, 9, p. 1607-1612 6 p.
Research output: Contribution to journal › Article › Academic › peer-review
The manifold of solutions of certain classes of N/D equations is considered, under the restriction that the scattering amplitude have a uniform bound in all complex directions. Two cases are treated: (i) The N integral equation is Fredholm, but the associated homogeneous equation may have solutions; (ii) the equation has the marginally singular behavior characteristic of an asymptotically constant left‐hand cut discontinuity. The existence theorem in the latter case proceeds by the construction of the appropriate resolvent.
|Number of pages||6|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 1966|