Abstract
A construction is given for thin sets with group algebraic independence conditions on metrizable groups G. We list several pathological properties of measures concentrated on these sets and in particular we illustrate s.i.p. and i.p. measures in M(G).
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References
Brown, G.,Karanikas, C., and Williamson, J.: "The asymmetry of Mo(G)". Math. Proc. Camb. Phill. Soc. 91 (1982), 407–433.
Graham,C. and Mc Gehee,O.: "Essays in commutative Harmonic Analysis". Springer-Verlag No 238, New York.
Williamson,J.: " Banach algebras elements with independent powers, and Theorems of Wiener-Pitt type ". Functional Algebra, ed. by Scott and Foresman (1966), 186–197.
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© 1983 Springer-Verlag
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Karanikas, C. (1983). Pathological properties and S.I.P. measures on metrizable groups. In: Mauceri, G., Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069166
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DOI: https://doi.org/10.1007/BFb0069166
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