Existence of Solutions of N/D Equations

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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.
Originele taal-2English
Pagina's (van-tot)1607-1612
Aantal pagina's6
TijdschriftJournal of Mathematical Physics
Nummer van het tijdschrift9
StatusPublished - 1966
Extern gepubliceerdJa

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