ArticleOriginal scientific text

Title

Recent developments on the F. and M. Riesz theorem

Authors 1

Affiliations

  1. Department of Mathematics, Faculty of Sciences, Hokkaido University, Sapporo 060, Japan

Bibliography

  1. K. de Leeuw and I. Glicksberg, Quasi-invariance and analyticity of measures on compact groups, Acta Math. 109 (1963), 179-205.
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  3. I. Glicksberg, The strong conclusion of the F. and M. Riesz theorem on groups, Trans. Amer. Math. Soc. 285 (1984), 235-240.
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  5. E. Hewitt and S. Koshi, Orderings in locally compact Abelian groups and the theorem of F. and M. Riesz, Math. Proc. Cambridge Philos. Soc. 94 (1983), 441-457.
  6. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, I, Grundlehren Math. Wiss. 115, Springer, Berlin, 1963.
  7. E. Hewitt, S. Koshi and Y. Takahashi, The F. and M. Riesz theorem revisited, Math. Scand. 60 (1987), 63-76.
  8. Y. Kanjin, A convolution measure algebra on the unit disc, Tôhoku Math. J. 28 (1976), 105-115.
  9. S. Koshi and Y. Takahashi, Generating subsemigroups, orders and a theorem of Glicksberg, Hokkaido Math. J. 16 (1987), 135-144.
  10. S. Koshi and H. Yamaguchi, The F. and M. Riesz theorem and group structures, ibid. 8 (1979), 294-299.
  11. F. Riesz und M. Riesz, Über die Randwerte einer analytischen Funktion, in: Comptes Rendus du 4. Congrès des mathématiciens scandinaves, Stockholm, 1916, 27-44.
  12. W. Rudin, Fourier Analysis on Groups, Wiley, New York, 1962.
  13. Y. Takahashi and H. Yamaguchi, On measures which are continuous by certain translation, Hokkaido Math. J. 13 (1984), 109-117.
  14. H. Yamaguchi, Remarks on Riesz sets, ibid. 7 (1978), 328-335.
  15. H. Yamaguchi, A property of some Fourier Stieltjes transform, Pacific J. Math. 108 (1983), 243-256.
Pages:
227-231
Main language of publication
English
Published
1995
Exact and natural sciences