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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

$W$-systems are the Walsh functions


Author: Daniel Waterman
Journal: Bull. Amer. Math. Soc. 75 (1969), 139-142
MathSciNet review: 0234196
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References [Enhancements On Off] (What's this?)

  • 1. G. Alexits, Convergence problems of orthogonal series, Translated from the German by I. Földer. International Series of Monographs in Pure and Applied Mathematics, Vol. 20, Pergamon Press, New York-Oxford-Paris, 1961. MR 0218827
  • 2. A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
  • 3. Alfred Rényi, On a conjecture of H. Steinhaus, Ann. Soc. Polon. Math. 25 (1952), 279–287 (1953). MR 0055419
  • 4. D. Waterman, On a problem of Steinhaus, Studia Sci. Math. Hungar. 5 (1970), 97–98. MR 0266268
  • 5. E. M. Stein, On limits of seqences of operators, Ann. of Math. (2) 74 (1961), 140–170. MR 0125392
  • 6. P. Billard, Sur la convergence presque partout des séries de Fourier-Walsh des fonctions de l’espace 𝐿²(0,1), Studia Math. 28 (1966/1967), 363–388. MR 0217510


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1969-12179-8