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An extension of Khintchine's inequality
Author(s):
C. M.
Newman
Journal:
Bull. Amer. Math. Soc.
81
(1975),
913-915.
MSC (1970):
Primary 42A36, 60G50;
Secondary 42A56
MathSciNet review:
0375458
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Additional information
References:
- 1.
- R. P. Boas, Jr., Entire functions, Academic Press, New York, 1954. MR 16, 914. MR 68627
- 2.
- J. P. Kahane, Séries de Fourier aléatoires, Deuxième édition multigraphiée, Les Presses de l'Université de Montréal, Montreal, 1967. MR 42 #3483. MR 268586
- 3.
- T. Kawata, Fourier analysis in probability theory, Academic Press, New York, 1972. MR 464353
- 4.
- A. Khintchine, Über dyadische Brüche, Math. Z. 18 (1923), 109-116. MR 1544623
- 5.
- C. M. Newman, Zeros of the partition function for generalized Ising systems, Comm. Pure Appl. Math. 27 (1974), 143-159. MR 484184
- 6.
- C. M. Newman, Inequalities for Ising models and field theories which obey the Lee-Yang theorem, Comm. Math. Phys. 41 (1975), 1-9. MR 376061
- 7.
- A. Pełczyński, A characterization of Hilbert-Schmidt operators, Studia Math. 28 (1966/67), 355-360. MR 35 #7163. MR 216329
- 8.
- B. Simon and R. B. Griffiths, The (ø4)2 field theory as a classical Ising model, Comm. Math. Phys. 33 (1973), 145-164. MR 428998
- 9.
- A. Zygmund, Trigonometric series. Vol. I, 2nd ed., Cambridge Univ. Press, New York, 1959. MR 21 #6498. MR 107776
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13884-5
PII:
S 0002-9904(1975)13884-5
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