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Discrete analogues of singular Radon transforms
Author(s):
E. M.
Stein;
S.
Wainger
Journal:
Bull. Amer. Math. Soc.
23
(1990),
537-544.
MSC (1985):
Primary 42B20, 42B99, 11L40
MathSciNet review:
1056560
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References:
- 1.
- G. I. Arkhipov and K. I. Oskolkov, On a special trigonometric series and its applications, Mat. Sb. 134(176) (1987), 147-158; Soviet Math 62 (1989), 145-156. MR 922412
- 2.
- J. Bourgain, On the maximal ergodic theorem for certain subsets of integers, Israel J. Math. 61 (1988), 39-72; 73-83. MR 937581
- 3.
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- 4.
- L. Carleson, On the convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157. MR 199631
- 5.
- L. Carlitz and S. Uchiyama, Bounds for exponential sums, Duke Math. J. 24(1957), 37-41. MR 82517
- 6.
- D. Geller and E. M. Stein, Estimates for singular convolution operators on the Heisenberg group, Math. Ann. 267 (1984), 1-15. MR 737332
- 7.
- D. H. Phong and E. M. Stein, Hilbert integrals, singular integrals, and Radon transforms I, Acta Math. 157 (1986), 99-757. MR 857680
- 8.
- F. Ricci and E. M. Stein, Harmonic analysis on nilpotent groups and singular integrals, J. Funct. Anal. 73 (1987), 179-194; also 78 (1988), 56-84.
- 9.
- P. Sjölin, Convergence almost everywhere of certain singular integrals and multiple Fourier series, Ark. Mat. 9 (1971), 65-90. MR 336222
- 10.
- E. M. Stein and S. Wainger, Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc. 84 (1978), 1239-1295. MR 508453
- 11.
- I. Vinogradov, The method of trigonometrical sums in the theory of numbers, Interscience, New York, 1954.
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15973-7
PII:
S 0273-0979(1990)15973-7
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