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Divergence of some spectral resolutions of functions of L 1 α

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Literature cited

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    Sh. A. Alimov, V. A. Il'in, and E. M. Nikishin, “Aspects of convergence of multiple trigonometric series and spectral resolutions,” Usp. Mat. Nauk,31, No. 6, 28–83 (1976).

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    V. A. Il'in, “Problems of localization and convergence for Fourier series with respect to fundamental systems of functions of Laplace operator,” Usp. Mat. Nauk,23, No. 2, 61–120 (1968).

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    Sh. A. Alimov, “On localization of spectral resolutions,” Differents. Uravn.,10, No. 4, 744–746 (1974).

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Translated from Matematicheskie Zametki, Vol. 32, No. 3, pp. 309–314, September, 1982.

The author sincerely thanks V. A. Il'in and his scientific director Sh. A. Alimov.

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Bastis, A.I. Divergence of some spectral resolutions of functions of L 1 α . Mathematical Notes of the Academy of Sciences of the USSR 32, 634–637 (1982). https://doi.org/10.1007/BF01140195

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Keywords

  • Spectral Resolution