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Book Review

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Book Information

Author(s): M. de Guzmán
Title: Real variable methods in Fourier analysis
Additional book information: Mathematics Studies, no. 46, Notas de Matemática, North-Holland Publishing Company, Amsterdam, 1981, xiii + 392 pp., $44.00. ISBN 0-4448-6124-6

Author(s): Cora Sadosky
Title: Interpolation of operators and singular integrals, an introduction to harmonic analysis
Additional book information: Pure and Applied Mathematics, no. 53, Marcel Dekker, New York, 1979, xi + 375 pp., $35.00. ISBN 0-8247-6883-3

References:

1.
A. P. Calderón and A. Zygnund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. MR 52553
2.
M. Cotlar, A unified theory of Hilbert transforms and ergodic theorems, Rev. Cuyana 1 (1955), 105-167. MR 84632
3.
M. de Guzmán, Differentiation of integrals in R, Lecture Notes in Math., vol. 481, Springer-Verlag, Berlin and New York, 1975.
4.
U. Neri, Singular integrals, Lecture Notes in Math., vol. 200, Springer-Verlag, Berlin and New York, 1971. MR 463818
5.
E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, N.J., 1971. MR 304972
6.
R. L. Wheeden and A. Zygmund, Measure and integral, Monographs in Pure and Appl. Math., no. 43, Dekker, New York, 1977. MR 492146
7.
A. Zygmund, Intégrales singulières, Univèrsité de Paris (Orsay), 1965.

Additional Information:

Reviewer(s):
William Connett

Reviewer(s):
Grant Welland

Review Information:
Journal: Bull. Amer. Math. Soc. 8 (1983), 498-500.
DOI: 10.1090/S0273-0979-1983-15137-6
PII: S 0273-0979(1983)15137-6

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