Publisher's Synopsis
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.
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