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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Mean convergence of generalized Walsh-Fourier series


Author: Wo Sang Young
Journal: Trans. Amer. Math. Soc. 218 (1976), 311-320
MSC: Primary 42A56; Secondary 43A50
DOI: https://doi.org/10.1090/S0002-9947-1976-0394022-8
MathSciNet review: 0394022
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Abstract: Paley proved that Walsh-Fourier series converges in $ {L^p}(1 < p < \infty )$. We generalize Paley's result to Fourier series with respect to characters of countable direct products of finite cyclic groups of arbitrary orders.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0394022-8
Article copyright: © Copyright 1976 American Mathematical Society