International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 4, Pages 625-679
doi:10.1155/S0161171282000611

Recent developments in the theory of Walsh series

William R. Wade

Department of Mathematics, University of Tennessee, Knoxville 37916, Tennessee, USA

Abstract

We survey research done on the theory of Walsh series during the decade 1971-1981. Particular attention is given to convergence of Walsh-Fourier series, gap Walsh series, growth of Walsh-Fourier coefficients, dyadic differentiation, and uniqueness of Walsh series.