On convergence of greedy algorithm by Walsh system in the space <Emphasis Type="Italic">C</Emphasis>(0, 1)

The paper studies convergence of the greedy algorithm by the Walsh system in the space C(0, 1). Some sufficient conditions for uniform convergence are given. It is proved that there exists a function satisfying more restrictive conditions, for which the sequence of the partial sums of the Fourier-Walsh series diverges at the point 0.