Title

On the integrability of complex trigonometric series

Abstract

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 [1] concerning the integrability of cosine series. © 1985 American Mathematical Society.

Document Type

Article

DOI

https://doi.org/10.1090/S0002-9939-1985-0766526-8

Keywords

Complex convex sequences, Complex monotone sequences, Integrability of trigonometric series, L -convergence of Foutier series 1

Publication Date

1-1-1985

Journal Title

Proceedings of the American Mathematical Society

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