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The Quarterly Journal of Mechanics and Applied Mathematics 1986 39(1):153-162; doi:10.1093/qjmam/39.1.153
© 1986 by Oxford University Press
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A SCATTERING TRINITY: THE REPRODUCING KERNEL, NULL-FIELD EQUATIONS AND MODIFIED GREEN'S FUNCTIONS

JOHN F. AHNER

( Department of Mathematics, Vanderbilt University Nashville, Tennessee 37235, USA )

The close relation between the null-field method or T-matrix method and the modified Green's-function method has previously been shown. In this paper we establish the connection between the reproducing kernel both with the null-field equations and with the modified Green's functions. Furthermore, we demonstrate the relationship between an infinite matrix derived from the reproducing kernel and known results.


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