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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Favard classes for $n$-dimensional singular integrals

Author(s): P. L. Butzer; R. J. Nessel
Journal: Bull. Amer. Math. Soc. 72 (1966), 493-498.
MathSciNet review: 0192249
Retrieve article in: PDF

References | Additional information

References:

1.
S. Bochner, Harmonic analysis and the theory of probability, University of California Press, Los Angeles, Calif. 1955. MR 72370
2.
S. Bochner and K. Chandrasekharan, Fourier transforms, Princeton Univ. Press, Princeton, N. J. 1949. MR 31582
3.
P. L. Butzer, Fourier transform methods in the theory of approximation, Arch. Rational. Mech. Anal. 5 (1960), 390-415. MR 117480
4.
P. L. Butzer, Integral transform methods in the theory of approximation, On Approximation Theory, edited by P. L. Butzer and J. Korevaar, Verlag, Basel Birkhaüser, 1964, pp. 12-23. MR 180795
5.
H. Cramer, On the representation of a function by certain Fourier-integrals, Trans. Amer. Math. Soc. 46 (1939), 190-201. MR 73
6.
J. Favard, Sur l'approximation des fonctions d'une variable reélle, Colloque d'Analyse Harmonique Publication, Vol. 15, Centre National de la Recherche Scientifique, Paris, 1949, pp. 96-110. MR 32839
7.
V. L. Shapiro, Fourier series in several variables, Bull. Amer. Math. Soc. 70 (1964), 48-93. MR 158222
8.
G. Sunouchi, On the class of saturation in the theory of approximation I, Tôhoku Math. J. 12 (1960), 339-344. MR 124676
9.
E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, Oxford, 1959.


Additional Information:

DOI: 10.1090/S0002-9904-1966-11512-4
PII: S 0002-9904(1966)11512-4




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