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Weighted approximation by triginometric sums and the Carleman-Golusin-Krylov formula

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Abstract

An explicit formula is given yielding linear combinations of harmonics with negative frequencies approximating a prescribed harmonic with a positive frequency in a weighted space L2(h). The formula is based on the Carleman-Krylov-Goluzin interpolation formula. Bibliography: 12 titles.

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Authors
  1. V. A. Bart
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  2. V. P. Khavin
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1993, pp. 5–14.

Translated by V. P. Khavin.

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Bart, V.A., Khavin, V.P. Weighted approximation by triginometric sums and the Carleman-Golusin-Krylov formula. J Math Sci 80, 1873–1879 (1996). https://doi.org/10.1007/BF02367001

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  • DOI: https://doi.org/10.1007/BF02367001

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