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Regularity and integrability of spherical means. (English) Zbl 0519.42018


MSC:

42B99 Harmonic analysis in several variables
42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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References:

[1] Erd?lyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.: Higher Transcendental Functions. Vol. 2. New York-Toronto-London: MacGraw-Hill. 1953. · Zbl 0051.30303
[2] Gradshteyn, I. S., Ryzhik, I. M.: Table of Integrals, Series, and Products. New York-London: Academic Press. 1980. · Zbl 0521.33001
[3] Oberlin, D. M., Stein, E. M.: Mapping properties of the Radon transform. Indiana Univ. Math. J.31, 641-650 (1982). · Zbl 0548.44003
[4] Peyri?re, J., Sj?lin, P.: Regularity of spherical means. Ark. Mat.16, 117-126 (1978). · Zbl 0493.46033
[5] Sj?lin, P.: Lipschitz continuity of spherical means. In: Linear Spaces and Approximation. Proc. Conf. Oberwolfach, 1977. Ed. byP. L. Butzer undB. Sz. Nagy, pp. 229-234. Basel-Stuttgart: Birkh?user. 1978.
[6] Stein, E. M.: Singular Integrals and Differentiability Properties of Functions. Princeton: Univ. Press. 1970. · Zbl 0207.13501
[7] Stein, E. M., Weiss, G.: Introduction to Fourier Analysis on Euclidean Spaces. Princeton: Univ. Press. 1971. · Zbl 0232.42007
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