References
Fatou, P.: Sur la convergence absolue des séries trigonométriques. Bull. Soc. Math. France41, 47–53 (1913).
Hobson, E.: The Theory of Functions of a Real Variable, Vol. 2. New York: Dover Publications 1957.
Salem, R.: The absolute convergence of trigonometrical series. Duke Math. J.8, 317–334 (1941).
Tsuchikura, T., andS. Yano: On the absolute convergence of trigonometrical series. Proc. Amer. Math. Soc.1, 517–521 (1950).
Zygmund, A.: Trigonometric Series, Vol. 1. New York: Cambridge Univ. Press 1959.
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Pippert, R.E. On absolutely convergent trigonometric series. Math Z 85, 401–406 (1964). https://doi.org/10.1007/BF01115360
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DOI: https://doi.org/10.1007/BF01115360