Publisher's Synopsis
Excerpt from Eigenfunction Expansions Associated With the Laplacian for Certain Domains With Infinite Boundaries
In Chapter 3 we prove that the distorted plane waves wn(x;6) form a complete, orthogonal set of generalized eigenfunctions for the operator acy The completeness of the generalized eigenfunctions follows from Theorem The orthogonality relation is then established in Theorem This is proven employing the method used by Ikebe in Finally the results are extended to in elude certain cases for which point eigenvalues are present.
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