The problem of uniquiness of multiple Walsh series was solved; the problem of a.e. convergence of multiple Walsh series of integrable functions was solved; the problem of convergence of multiple Walsh series in measure and in near to L Orlicz space was solved.
Main publications:
Lukomskii S. F. On a U-set for multiple Walsh series // Analysis Mathematica. 1992. V. 18, no. 2. P. 127–138.
Lukomskii S. F. Convergence of multiple Walsh series in measure and in L // East Journal on Approximations. 1997. V. 3, no. 3. P. 101–116.
Lukomskii S. F. Convergence of multiple Walsh series in near to L Orlicz space // East Journal on Approximations. 2000. V. 6, no. 3. P. 295–308.
