An orthogonal set composed from the functions \(e^{nx}\), n\(\geq 0\), x\(\leq 0\) (Q752919)
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scientific article; zbMATH DE number 4179782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An orthogonal set composed from the functions \(e^{nx}\), n\(\geq 0\), x\(\leq 0\) |
scientific article; zbMATH DE number 4179782 |
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An orthogonal set composed from the functions \(e^{nx}\), n\(\geq 0\), x\(\leq 0\) (English)
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1991
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This paper deals with an orthonormal system \(\{D_ n\}^{\infty}_{n=0}\) derived from the system of functions \(\{e^{nx}\); \(n=0,1,...\); \(x\leq 0\}\) by means of the method of A. Schmidt. Furthermore a recurrence relation and system of differential equations for the functions \(D_ n\) are derived. These functions are of interest in inverse scattering theory. It seems that the study of this orthonormal system is still not complete.
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recurrence relation
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orthonormal system
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