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A note on translates of bounded measures. (English) Zbl 0279.43003
MSC:
43A10 Measure algebras on groups, semigroups, etc.
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
43A05 Measures on groups and semigroups, etc.
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References:
[1] R. Doss [1] ’On the multiplicators of some classes of Fourier transforms’ , Proc. London Math. Soc., (2) 50 (1949), 169-195. · Zbl 0031.16405 · doi:10.1112/plms/s2-50.3.169
[2] R.E. Edwards [2] ’Translates of L\infty functions and of bounded measures’ , J. Austr. Math. Soc., IV (1964), 403-409. · Zbl 0178.49902 · doi:10.1017/S1446788700025222
[3] E. Hewitt and K.A. Ross [3] Abstract Harmonic Analysis , Vol. I, Springer-Verlag, Heidelberg and New York, 1963. · Zbl 0213.40103
[4] E. Hewitt and K.A. Ross [4] Abstract Harmonic Analysis , Vol. II, Springer-Verlag, Heidelberg and New York, 1964. · Zbl 0213.40103
[5] L. Pigno [5] ’A multiplier theorem’ , Pacific J. Math., 34 (1970), 755-757. · Zbl 0188.20304 · doi:10.2140/pjm.1970.34.755
[6] W. Rudin [6] ’Measure algebras on abelian groups’ , Bull. Amer. Math. Soc., 65 (1959), 227-247. · Zbl 0089.10901 · doi:10.1090/S0002-9904-1959-10322-0
[7] D.A. Raikov [7] ’On absolutely continuous set functions’ , Doklady Akad. Nauk. S.S.S.R. (N.S.), 34 (1942), 239-241. · Zbl 0061.25406
[8] S. Saks [8] Theory of the Integral , Second Ed., Hafner, New York, 1937. · JFM 63.0183.05
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