The Borel property of summability methods.
J. D. Hill
Source: Pacific J. Math. Volume 1, Number 3
(1951), 399-409.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1103052108
Zentralblatt MATH identifier: 0043.28603
Mathematical Reviews number (MathSciNet): MR0043920
References
[1] R. P. Agnew, Methods of summability which evaluate sequences of zeros and ones summable ClfAmer. J. Math. 70 (1948), 75-81.
Mathematical Reviews (MathSciNet): MR10:245d
Zentralblatt MATH: 0035.03903
[2] E. Borel, Les probabilities denombrables et leurs applications arithmetiques, Rend. Circ. Mat. Palermo 27 (1909), 247-271.
[3] E. Borel, Traite du calcul des probabilities et de ses applications, vol. II, part 1, Gautier-Villars, Paris, 1926,
[4] R.C.Buck and H.Pollard, Convergence and summability properties of subsequences. Bull. Amer. Math. Soc. 49 (1943), 924-931.
Mathematical Reviews (MathSciNet): MR5:117c
Zentralblatt MATH: 0060.15803
[5] D.Hill, Summability of sequences of Q's and Vs, Ann. of Math, 46 (1945), 556-562,
Mathematical Reviews (MathSciNet): MR7:153b
Zentralblatt MATH: 0060.16011
[6] S. Kaczmarz and H. Steinhaus, Theorie der Orthogonalreihen, Warsaw, 1935.
Zentralblatt MATH: 0045.33601
[7] A. Khintchine, ber dyadische Bruche, Math. Z. 18 (1923), 109-116.
[8] M. Riesz, Sur Inequivalence de certaines methodes de sommation, Proc. London Math. Soc. (2) 22 (1923), 412-419.
[9] C. Visser, The law of nought-or-one, Studia Math. 7 (1938), 143-159.
Zentralblatt MATH: 64.0532.04
Pacific Journal of Mathematics
