Let f ε L1(T). Define fα by fα(x) = f(x + α). Then the Fourier series of f is absolutely convergent if and only if there exists a Lebesgue point α for f such that both sequences $\langle(R_e ...
This is a preview. Log in through your library . Journal Information This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the ...