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Strong summability of orthogonal expansions of summable functions. I

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Abstract

We study the problem of strong summability of Fourier series in orthonormal systems of polynomial-type functions and establish local characteristics of the points of strong summability of series of this sort for summable functions. It is shown that the set of these points is a set of full measure in the region of uniform boundedness of systems under consideration.

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Authors
  1. A. I. Stepanets
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  2. R. A. Lasuriya
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Stepanets, A.I., Lasuriya, R.A. Strong summability of orthogonal expansions of summable functions. I. Ukr Math J 48, 294–313 (1996). https://doi.org/10.1007/BF02372053

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  • DOI: https://doi.org/10.1007/BF02372053

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