Mean convergence of generalized Walsh-Fourier series

Young, Wo Sang

doi:10.1090/S0002-9947-1976-0394022-8

Mean convergence of generalized Walsh-Fourier series
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Trans. Amer. Math. Soc. 218 (1976), 311-320 Request permission

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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