Recent developments on the F. and M. Riesz theorem

Shozo Koshi

Banach Center Publications (1995)

  • Volume: 31, Issue: 1, page 227-231
  • ISSN: 0137-6934

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Koshi, Shozo. "Recent developments on the F. and M. Riesz theorem." Banach Center Publications 31.1 (1995): 227-231. <http://eudml.org/doc/262615>.

@article{Koshi1995,
author = {Koshi, Shozo},
journal = {Banach Center Publications},
keywords = {FMR; locally compact group; ordered group; dual group},
language = {eng},
number = {1},
pages = {227-231},
title = {Recent developments on the F. and M. Riesz theorem},
url = {http://eudml.org/doc/262615},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Koshi, Shozo
TI - Recent developments on the F. and M. Riesz theorem
JO - Banach Center Publications
PY - 1995
VL - 31
IS - 1
SP - 227
EP - 231
LA - eng
KW - FMR; locally compact group; ordered group; dual group
UR - http://eudml.org/doc/262615
ER -

References

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  1. [1] K. de Leeuw and I. Glicksberg, Quasi-invariance and analyticity of measures on compact groups, Acta Math. 109 (1963), 179-205. Zbl0126.12102
  2. [2] R. Doss, On measures with small transforms, Pacific J. Math. 26 (1968), 258-263. Zbl0165.48803
  3. [3] I. Glicksberg, The strong conclusion of the F. and M. Riesz theorem on groups, Trans. Amer. Math. Soc. 285 (1984), 235-240. Zbl0548.43001
  4. [4] H. Helson and D. Lowdenslager, Prediction theory and Fourier series in several variables, Acta Math. 99 (1958), 165-202. 
  5. [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. Zbl0528.43002
  6. [6] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, I, Grundlehren Math. Wiss. 115, Springer, Berlin, 1963. 
  7. [7] E. Hewitt, S. Koshi and Y. Takahashi, The F. and M. Riesz theorem revisited, Math. Scand. 60 (1987), 63-76. 
  8. [8] Y. Kanjin, A convolution measure algebra on the unit disc, Tôhoku Math. J. 28 (1976), 105-115. Zbl0321.43011
  9. [9] S. Koshi and Y. Takahashi, Generating subsemigroups, orders and a theorem of Glicksberg, Hokkaido Math. J. 16 (1987), 135-144. Zbl0623.43005
  10. [10] S. Koshi and H. Yamaguchi, The F. and M. Riesz theorem and group structures, ibid. 8 (1979), 294-299. Zbl0426.43003
  11. [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. Zbl49.0225.01
  12. [12] W. Rudin, Fourier Analysis on Groups, Wiley, New York, 1962. Zbl0107.09603
  13. [13] Y. Takahashi and H. Yamaguchi, On measures which are continuous by certain translation, Hokkaido Math. J. 13 (1984), 109-117. Zbl0536.43006
  14. [14] H. Yamaguchi, Remarks on Riesz sets, ibid. 7 (1978), 328-335. Zbl0405.43005
  15. [15] H. Yamaguchi, A property of some Fourier Stieltjes transform, Pacific J. Math. 108 (1983), 243-256. Zbl0536.43009

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