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A partition of non-synthesis for a quotient algebra of A(Z)

Published online by Cambridge University Press:  24 October 2008

D. L. Salinger
Affiliation:
Trinity College, University of Cambridge, and Faculte des Sciences, Orsay

Extract

Let A(Z) be the Banach algebra of Fourier-Lebesgue coefficients: a function f is an element of A(Z) if it is the Fourier transform

of some function fεL1(T), where T, as usual, denotes the circle group. We write

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Drury, S. W.A partition of non-synthesis in tensor algebras. Proc. Cambridge Philos. Soc. 67 (1970), 1921.CrossRefGoogle Scholar
(2)Kahane, J. P. Idempotents and closed subalgebras of A(Z). Symposium on Function Algebras. Tulane University (1965).Google Scholar
(3)Kahane, J. P.Algebres tensorielles et analyse harmonique. Siminaire Bourbaki (05 1965).Google Scholar
(4)Katznelson, Y.An introduction to harmonic analysis (Wiley, 1968).Google Scholar
(5)Rudin, W.Fourier analysis on groups (Interscience).Google Scholar
(6)Varopoulos, N. Th.Tensor algebras and harmonic analysis. Acta Math. 119 (1967), 51112.CrossRefGoogle Scholar
(7)Varopoulos, N. Th.Tensor algebras over discrete spaces. J. Functional Analysis 3 (1969), 321335.CrossRefGoogle Scholar