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Approximations to the norm of the singular part of a measure

Published online by Cambridge University Press:  20 January 2009

Louis Pigno
Louis Pigno
Affiliation:
Kansas State University
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Let G be a non-discrete LCA group with dual group Γ. Denote by M(G) the usual convolution algebra of bounded Borel measures on G and Ma(G) those μ ∈ M(G) which are absolutely continuous with respect to mG—the Haar measure on G.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 1 , March 1976 , pp. 69 - 72
Copyright
Copyright © Edinburgh Mathematical Society 1976

References

REFERENCES

(1) Dressler, R. and Pigno, L., On strong Riesz sets, Colloq. Math. 29 (1974), 157–158.CrossRefGoogle Scholar
(2) Doss, R., On the Fourier-Stieltjes transforms of singular or absolutely continuous measures, Math. Z. 97 (1967), 77–84.CrossRefGoogle Scholar
(3) Doss, R., On the transform of a singular or absolutely continuous measure, Proc. Amer. Math. Soc. 19 (1968), 361–363.CrossRefGoogle Scholar
(4) Doss, R., Approximations and representations for Fourier transforms, Trans. Amer. Math. Soc. 153 (1971), 211–221.CrossRefGoogle Scholar
(5) Doss, R., Harmonic analysis of oscillations, J. London Math. Soc. 7 (1973), 41–47.CrossRefGoogle Scholar
(6) Glicksberg, I., Fourier-Stieltjes transforms with small supports, Illinois J. Math. 9 (1965), 418–427.CrossRefGoogle Scholar
(7) Meyer, Y., Spectres des mesures et mesures absolument continues, Studia Math. 30 (1968), 87–99.CrossRefGoogle Scholar
(8) Wallen, L. J., Fourier-Stieltjes transforms tending to zero, Proc. Amer. Math. Soc. 24 (1970), 651–652.Google Scholar