No CrossRef data available.
Article contents
A homomorphism theorem for multipliers
Published online by Cambridge University Press: 20 January 2009
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Throughout the paper, the symbols G1 and G2 will denote two locally compact abelian groups with character groups X1 and X2, respectively. Haar measures on Gj are denoted by μj; the ones on Xj are denoted by θj (j=1,2). The measures μj and θj are normalized so that the Plancherel Theorem holds (see [7, p. 226, Theorem 31.18]).
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1989
References
REFERENCES
1.Asmar, Nakhlé and Hewitt, Edwin, Riesz's, Marcel theorem on conjugate Fourier series and its descendants, Proceedings of the analysis conference, held in Singapore June 1986 (North-Holland, to appear).Google Scholar
2.Berkson, Earl and Gillespie, T. A., The generalized M. Riesz theorem and transference, Pacific J. Math. 120 (2) (1985), 279–288.CrossRefGoogle Scholar
3.Berkson, Earl, Gillespie, T. A. and Muhly, Paul, Generalized analyticity in UMD spaces, Ark. Mat., to appear.Google Scholar
4.Coifman, Ronald and Weiss, Guido, Transference methods in analysis, Regional conference series in Math. 31 (Amer. Math. Soc., Providence, 1977).Google Scholar
5.Edwards, R. E. and Gaudry, G. I., Littlewood-Paley and multiplier theory (Berlin,Heidelberg, New York: Springer-Verlag, 1977).CrossRefGoogle Scholar
6.Hewitt, Edwin and Ross, Kenneth, Abstract Harmonic Analysis I, SecondEdition (Berlin,Heidelberg, New York: Springer-Verlag, 1979).CrossRefGoogle Scholar
7.Hewitt, Edwin and Ross, Kenneth, Abstract Harmonic Analysis II, (Berlin, Heidelberg, New York: Springer-Verlag, 1970).Google Scholar
9.Saeki, Sadahiro, Translation invariant operators on groups, Tohoku Math. J. 22 (1970), 409–419.CrossRefGoogle Scholar
You have
Access