Book Review
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MathSciNet review:
1567434
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Book Information:
Author:
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:
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.
A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130
Mischa Cotlar, A unified theory of Hilbert transforms and ergodic theorems, Rev. Mat. Cuyana 1 (1955), 105–167 (1956) (English, with Spanish summary). MR 84632
3. M. de Guzmán, Differentiation of integrals in R, Lecture Notes in Math., vol. 481, Springer-Verlag, Berlin and New York, 1975.
Umberto Neri, Singular integrals, Lecture Notes in Mathematics, Vol. 200, Springer-Verlag, Berlin-New York, 1971. Notes for a course given at the University of Maryland, College Park, Md., 1967. MR 0463818
Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
Richard L. Wheeden and Antoni Zygmund, Measure and integral, Pure and Applied Mathematics, Vol. 43, Marcel Dekker, Inc., New York-Basel, 1977. An introduction to real analysis. MR 0492146
7. A. Zygmund, Intégrales singulières, Univèrsité de Paris (Orsay), 1965.
- 1.
- A. P. Calderón and A. Zygnund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. MR 0052553
- 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.
Review Information:
Reviewer:
William Connett
Reviewer:
Grant Welland
Journal:
Bull. Amer. Math. Soc.
8 (1983), 498-500
DOI:
https://doi.org/10.1090/S0273-0979-1983-15137-6