Abstract
We develop sufficiency conditions for: 1) periodic-in-the-mean extendability of functions from LP; 2) a system of exponential functions to be a basis in LP(−π, π).
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Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 37–42, July, 1972.
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Sedletskii, A.M. A periodic in the mean extension and bases of exponential functions in LP(−π, π). Mathematical Notes of the Academy of Sciences of the USSR 12, 455–458 (1972). https://doi.org/10.1007/BF01094390
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DOI: https://doi.org/10.1007/BF01094390