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

     

Transference results for multiplier operators

Author(s): R. O. Gandulfo
Journal: Bull. Amer. Math. Soc. 82 (1976), 734-736.
MSC (1970): Primary 42A18, 43A85
MathSciNet review: 0420110
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References:

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A. Bonami and J. -L. Clerc, Sommes de Cesàro et multiplicateurs des développement en harmoniques sphériques, Trans. Amer. Math. Soc. 183 (1973), 223-263. MR 49 # 3461. MR 338697
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R. R. Coifman and G. Weiss, Representations of compact groups and spherical harmonics, Enseignement Math. (2) 14 (1968), 121-173. MR 41 # 537. MR 255877
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R. R. Coifman and G. Weiss, Analyse harmonique non-commutative sur certains espaces homogenes, Lecture Notes in Math., vol. 242, Springer-Verlag, Berlin and New York, 1971. MR 499948
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R. R. Coifman and G. 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 49 # 1009. MR 336233
5.
R. R. Coifman and G. Weiss, Central multiplier theorems for compact Lie groups, Bull. Amer. Math. Soc. 80 (1974), 124-126. MR 48 # 9271. MR 330935
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.
E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, N.J., 1971. MR 46 # 4102. MR 304972
9.
N. T. Vilenkin, Special functions and the theory of group representations, "Nauka' Moscow, 1965; English transl., Transl. Math. Monographs, vol. 22, Amer. Math. Soc., Providence, R. I., 1968. MR 35 # 420; 37 # 5429. MR 209523

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Additional Information:

DOI: 10.1090/S0002-9904-1976-14137-7
PII: S 0002-9904(1976)14137-7




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