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Excerpt from On the Functions of the Parabolic Cylinder Another question that we decide is that of the completeness of the set of functions ah that are everywhere one-valued and regular. This is done by oh serving that all but two plane waves can be expanded in terms of the wh. It is well known that the plane waves form a complete system in the sense that a regular, one-valued solution of can be approximated in any finite part of the plane with an arbitrarily small error term by a linear combination of plane waves. 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.

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