Transference results for multiplier operators

Gandulfo, R. O.

doi:10.1090/S0002-9904-1976-14137-7

Author: R. O. Gandulfo
Journal: Bull. Amer. Math. Soc. 82 (1976), 734-736
MSC (1970): Primary 42A18, 43A85
DOI: https://doi.org/10.1090/S0002-9904-1976-14137-7
MathSciNet review: 0420110
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1. Aline Bonami and Jean-Louis Clerc, Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques, Trans. Amer. Math. Soc. 183 (1973), 223–263 (French). MR 338697, https://doi.org/10.1090/S0002-9947-1973-0338697-5
2. R. R. Coifman and Guido Weiss, Representations of compact groups and spherical harmonics, Enseign. Math. (2) 14 (1968), 121–173 (1969). MR 255877
3. Ronald R. Coifman and Guido Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Mathematics, Vol. 242, Springer-Verlag, Berlin-New York, 1971 (French). Étude de certaines intégrales singulières. MR 0499948
4. Ronald R. Coifman and Guido Weiss, Operators associated with representations of amenable groups, singular integrals induced by ergodic flows, the rotation method and multipliers, Studia Math. 47 (1973), 285–303. MR 336233, https://doi.org/10.4064/sm-47-3-285-303
5. Ronald R. Coifman and Guido Weiss, Central multiplier theorems for compact Lie groups, Bull. Amer. Math. Soc. 80 (1974), 124–126. MR 330935, https://doi.org/10.1090/S0002-9904-1974-13384-7
6. R. O. Gandulfo, Ph.D. Thesis, Washington Univ., St. Louis, Mo., 1975.
7. J. Marcinkiewicz, Sur les multiplicateurs des séries de Fourier, Studia Math. 8 (1939), 78-91.
8. Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. Princeton Mathematical Series, No. 32. MR 0304972
9. N. Ja. Vilenkin, Spetsial′nye funktsii i teoriya predstavleniĭ grupp, Izdat. “Nauka”, Moscow, 1965 (Russian). MR 0209523