On the integrability of complex trigonometric series
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- by William O. Bray and Vera B. Stanojevic PDF
- Proc. Amer. Math. Soc. 93 (1985), 51-58 Request permission
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.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 51-58
- MSC: Primary 42A20; Secondary 42A32
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766526-8
- MathSciNet review: 766526