On stable methods of summing Fourier-Laplace series (Q1568261)
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scientific article; zbMATH DE number 1462514
| Language | Label | Description | Also known as |
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| English | On stable methods of summing Fourier-Laplace series |
scientific article; zbMATH DE number 1462514 |
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On stable methods of summing Fourier-Laplace series (English)
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25 July 2001
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Perturbation (in the \(\ell^2\) metric) of the Fourier coefficients may cause instability of the Fourier series in the space of continuous functions. A. N. Tikhonov found a stable approximation method for Fourier series. In the paper under review the same problem is solved for spherical harmonic series.
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Fourier-Laplace series
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perturbation
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stable approximation method
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