Abstract
We establish the equisummability in the M. Riesz sense of Fourier series expansions in two systems of exponential functions, these latter being the characteristic functions of boundary-value problems for a first-order differential equation.
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Translated from Matematicheskie Zametki, Vol. 15, No. 3, pp. 381–386, March, 1974.
In conclusion, I wish to thank A. P. Khromov for stating the problem and for his interest in its development; I wish also to thank V. A. Sadovnich and A. M. Sedletskii for a discussion of the results of the paper.
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Molodenkov, V.A. Equisummability in the sense of M. Riesz of expansions in certain systems of exponential functions. Mathematical Notes of the Academy of Sciences of the USSR 15, 218–221 (1974). https://doi.org/10.1007/BF01438373
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DOI: https://doi.org/10.1007/BF01438373