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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
