On the integrability of complex trigonometric series
The classical criterion for the Fourier character of cosine series and sine series is generalized to complex trigonometric series. Our treatment unifies the ideas applied to cosine and sine series. A notion of complex convex sequences is developed generalizing a result of Young  concerning the integrability of cosine series. © 1985 American Mathematical Society.
Complex convex sequences, Complex monotone sequences, Integrability of trigonometric series, L -convergence of Foutier series 1
Bray, William O., and Vera B. Stanojevic. "On the integrability of complex trigonometric series." Proceedings of the American Mathematical Society 93, no. 1 (1985): 51-58.
Proceedings of the American Mathematical Society