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A note on spherical summation multipliers. (English) Zbl 0262.42007

MSC:
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
42B05 Fourier series and coefficients in several variables
42-02 Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces
42A45 Multipliers in one variable harmonic analysis
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References:
[1] S. Bochner,Summation of multiple Fourier series by spherical means, Trans. Amer. Math. Soc. (1936). · JFM 62.0293.03
[2] L. Carleson and P. Sjölin,Oscillatory integrals and a multiplier problem for the disc, Studia Math, to appear. · Zbl 0215.18303
[3] C. Fefferman,Inequalities for strongly singular convolution operators, Acta Math. (1970). · Zbl 0188.42601
[4] C. Hefferman,The multiplier problem for the ball, Ann. of Math. (1972).
[5] C. Herz,On the mean inversion of Fourier and Hankel transforms, Proc. Nat. Acad. Sci. U. S. A. (1954). · Zbl 0059.09901
[6] L. Hörmander,Oscillatory integrals and multipliers on FL p , to appear.
[7] P. Sjölin, private communication.
[8] E. M. Stein,Interpolation of linear operators, Trans. Amer. Math. Soc. (1956). · Zbl 0072.32402
[9] E. M. Stein and G. Weiss,Introduction to Fourier Analysis in Euclidean Spaces, Princeton University Press, 1971. · Zbl 0232.42007
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