Inequality for the norms of Hermite functions on a finite interval. (Q2737687)
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scientific article; zbMATH DE number 1646036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequality for the norms of Hermite functions on a finite interval. |
scientific article; zbMATH DE number 1646036 |
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19 September 2001
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Hermite functions
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norm of even Hermitian functions
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recurrent relations
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Inequality for the norms of Hermite functions on a finite interval. (English)
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Hermite polynomials and functions are basically used in new numerical projection methods for Fourier type inverse transforms, i.e., Fourier-sine or Fourier-cosine transforms, on a base of experimental data. Some properties of a system of orthonormal even Hermite functions in \(L_2(0, \infty)\) are investigated here. An inequality of the norms of the even Hermite functions on a finite interval is given. A recurrent relation for the norms is presented.
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