We investigate the behavior of quantities that characterize the strong summability of Fourier–Laplace series. On this basis, we establish some properties of the Fourier–Laplace series of functions of the class L 2 (S m−1).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 5, pp. 649–661, May, 2012.
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Lasuriya, R.A. Strong summability and properties of Fourier–Laplace series on a sphere. Ukr Math J 64, 737–751 (2012). https://doi.org/10.1007/s11253-012-0675-4
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DOI: https://doi.org/10.1007/s11253-012-0675-4