Abstract
The aim of this chapter is to derive discrete counterparts of the regularity theorems from Chap. 6 similar to how smoothness can be characterized for periodic functions in terms of the decay rate of their Fourier coefficients. The problem is that the solutions of the electronic Schrödinger equation are defined on the infinitely extended space so that not only their regularity properties but also their decay behavior comes into play and has to be utilized. The foundations for that have been laid in Chap. 6.
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© 2010 Springer Berlin Heidelberg
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Yserentant, H. (2010). Eigenfunction Expansions. In: Regularity and Approximability of Electronic Wave Functions. Lecture Notes in Mathematics(), vol 2000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12248-4_7
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DOI: https://doi.org/10.1007/978-3-642-12248-4_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12247-7
Online ISBN: 978-3-642-12248-4
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